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Finding the Fourth Proportional to 497,437.22, 686,481.80 and 282,613.74

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Solution

The fourth proportional to 497,437.22, 686,481.80 and 282,613.74 is: 390,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,437.22 : 686,481.80 = 282,613.74 : x
  2. Step 2: Convert to fraction form
    497,437.22/686,481.80 = 282,613.74/x
  3. Step 3: Cross multiply
    497,437.22x = 686,481.80 × 282,613.74
  4. Step 4: Simplify right side
    497,437.22x = 194,009,187,526.86
  5. Step 5: Solve for x
    x = 194,009,187,526.86/497,437.22
  6. Step 6: Final answer
    x = 390,017.44

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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.