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Finding the Fourth Proportional to 497,475.58, 686,518.61 and 282,627.43

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Solution

The fourth proportional to 497,475.58, 686,518.61 and 282,627.43 is: 390,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,475.58 : 686,518.61 = 282,627.43 : x
  2. Step 2: Convert to fraction form
    497,475.58/686,518.61 = 282,627.43/x
  3. Step 3: Cross multiply
    497,475.58x = 686,518.61 × 282,627.43
  4. Step 4: Simplify right side
    497,475.58x = 194,028,985,545.74
  5. Step 5: Solve for x
    x = 194,028,985,545.74/497,475.58
  6. Step 6: Final answer
    x = 390,027.16

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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.