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Finding the Fourth Proportional to 523,144.32, 782,676.96 and 458,590.02

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Solution

The fourth proportional to 523,144.32, 782,676.96 and 458,590.02 is: 686,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,144.32 : 782,676.96 = 458,590.02 : x
  2. Step 2: Convert to fraction form
    523,144.32/782,676.96 = 458,590.02/x
  3. Step 3: Cross multiply
    523,144.32x = 782,676.96 × 458,590.02
  4. Step 4: Simplify right side
    523,144.32x = 358,927,842,739.94
  5. Step 5: Solve for x
    x = 358,927,842,739.94/523,144.32
  6. Step 6: Final answer
    x = 686,097.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.