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Finding the Fourth Proportional to 523,145.26, 782,678.37 and 458,590.95

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Solution

The fourth proportional to 523,145.26, 782,678.37 and 458,590.95 is: 686,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,145.26 : 782,678.37 = 458,590.95 : x
  2. Step 2: Convert to fraction form
    523,145.26/782,678.37 = 458,590.95/x
  3. Step 3: Cross multiply
    523,145.26x = 782,678.37 × 458,590.95
  4. Step 4: Simplify right side
    523,145.26x = 358,929,217,242.75
  5. Step 5: Solve for x
    x = 358,929,217,242.75/523,145.26
  6. Step 6: Final answer
    x = 686,098.57

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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.