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Finding the Fourth Proportional to 497,989, 687,249.12 and 280,265.68

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Solution

The fourth proportional to 497,989, 687,249.12 and 280,265.68 is: 386,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,989 : 687,249.12 = 280,265.68 : x
  2. Step 2: Convert to fraction form
    497,989/687,249.12 = 280,265.68/x
  3. Step 3: Cross multiply
    497,989x = 687,249.12 × 280,265.68
  4. Step 4: Simplify right side
    497,989x = 192,612,341,946.20
  5. Step 5: Solve for x
    x = 192,612,341,946.20/497,989
  6. Step 6: Final answer
    x = 386,780.31

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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.