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Finding the Fourth Proportional to 360,377.76, 497,351.28 and 209,504.16

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Solution

The fourth proportional to 360,377.76, 497,351.28 and 209,504.16 is: 289,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,377.76 : 497,351.28 = 209,504.16 : x
  2. Step 2: Convert to fraction form
    360,377.76/497,351.28 = 209,504.16/x
  3. Step 3: Cross multiply
    360,377.76x = 497,351.28 × 209,504.16
  4. Step 4: Simplify right side
    360,377.76x = 104,197,162,141.33
  5. Step 5: Solve for x
    x = 104,197,162,141.33/360,377.76
  6. Step 6: Final answer
    x = 289,133.16

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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.