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Finding the Fourth Proportional to 528,164.76, 728,960.54 and 313,423.23

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Solution

The fourth proportional to 528,164.76, 728,960.54 and 313,423.23 is: 432,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,164.76 : 728,960.54 = 313,423.23 : x
  2. Step 2: Convert to fraction form
    528,164.76/728,960.54 = 313,423.23/x
  3. Step 3: Cross multiply
    528,164.76x = 728,960.54 × 313,423.23
  4. Step 4: Simplify right side
    528,164.76x = 228,473,166,989.34
  5. Step 5: Solve for x
    x = 228,473,166,989.34/528,164.76
  6. Step 6: Final answer
    x = 432,579.35

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Double scale
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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.