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Finding the Fourth Proportional to 502,416.84, 693,295.02 and 287,507.64

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Solution

The fourth proportional to 502,416.84, 693,295.02 and 287,507.64 is: 396,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,416.84 : 693,295.02 = 287,507.64 : x
  2. Step 2: Convert to fraction form
    502,416.84/693,295.02 = 287,507.64/x
  3. Step 3: Cross multiply
    502,416.84x = 693,295.02 × 287,507.64
  4. Step 4: Simplify right side
    502,416.84x = 199,327,615,023.95
  5. Step 5: Solve for x
    x = 199,327,615,023.95/502,416.84
  6. Step 6: Final answer
    x = 396,737.53

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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.