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Finding the Fourth Proportional to 523,143.32, 782,675.46 and 458,589.02

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Solution

The fourth proportional to 523,143.32, 782,675.46 and 458,589.02 is: 686,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,143.32 : 782,675.46 = 458,589.02 : x
  2. Step 2: Convert to fraction form
    523,143.32/782,675.46 = 458,589.02/x
  3. Step 3: Cross multiply
    523,143.32x = 782,675.46 × 458,589.02
  4. Step 4: Simplify right side
    523,143.32x = 358,926,368,266.07
  5. Step 5: Solve for x
    x = 358,926,368,266.07/523,143.32
  6. Step 6: Final answer
    x = 686,095.68

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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.