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Finding the Fourth Proportional to 654,188.79, 902,648.19 and 382,204.16

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Solution

The fourth proportional to 654,188.79, 902,648.19 and 382,204.16 is: 527,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,188.79 : 902,648.19 = 382,204.16 : x
  2. Step 2: Convert to fraction form
    654,188.79/902,648.19 = 382,204.16/x
  3. Step 3: Cross multiply
    654,188.79x = 902,648.19 × 382,204.16
  4. Step 4: Simplify right side
    654,188.79x = 344,995,891,389.53
  5. Step 5: Solve for x
    x = 344,995,891,389.53/654,188.79
  6. Step 6: Final answer
    x = 527,364.42

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.