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Finding the Fourth Proportional to 502,057.68, 693,129.34 and 380,987.18

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Solution

The fourth proportional to 502,057.68, 693,129.34 and 380,987.18 is: 525,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,057.68 : 693,129.34 = 380,987.18 : x
  2. Step 2: Convert to fraction form
    502,057.68/693,129.34 = 380,987.18/x
  3. Step 3: Cross multiply
    502,057.68x = 693,129.34 × 380,987.18
  4. Step 4: Simplify right side
    502,057.68x = 264,073,392,621.86
  5. Step 5: Solve for x
    x = 264,073,392,621.86/502,057.68
  6. Step 6: Final answer
    x = 525,982.18

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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.