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Finding the Fourth Proportional to 411,950.20, 616,715.70 and 307,233.40

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Solution

The fourth proportional to 411,950.20, 616,715.70 and 307,233.40 is: 459,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,950.20 : 616,715.70 = 307,233.40 : x
  2. Step 2: Convert to fraction form
    411,950.20/616,715.70 = 307,233.40/x
  3. Step 3: Cross multiply
    411,950.20x = 616,715.70 × 307,233.40
  4. Step 4: Simplify right side
    411,950.20x = 189,475,661,344.38
  5. Step 5: Solve for x
    x = 189,475,661,344.38/411,950.20
  6. Step 6: Final answer
    x = 459,947.98

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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.