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Finding the Fourth Proportional to 502,489.60, 693,264.16 and 311,433.28

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Solution

The fourth proportional to 502,489.60, 693,264.16 and 311,433.28 is: 429,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,489.60 : 693,264.16 = 311,433.28 : x
  2. Step 2: Convert to fraction form
    502,489.60/693,264.16 = 311,433.28/x
  3. Step 3: Cross multiply
    502,489.60x = 693,264.16 × 311,433.28
  4. Step 4: Simplify right side
    502,489.60x = 215,905,531,255.25
  5. Step 5: Solve for x
    x = 215,905,531,255.25/502,489.60
  6. Step 6: Final answer
    x = 429,671.64

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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.