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Finding the Fourth Proportional to 411,641.70, 616,252.95 and 306,924.90

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Solution

The fourth proportional to 411,641.70, 616,252.95 and 306,924.90 is: 459,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,641.70 : 616,252.95 = 306,924.90 : x
  2. Step 2: Convert to fraction form
    411,641.70/616,252.95 = 306,924.90/x
  3. Step 3: Cross multiply
    411,641.70x = 616,252.95 × 306,924.90
  4. Step 4: Simplify right side
    411,641.70x = 189,143,375,053.46
  5. Step 5: Solve for x
    x = 189,143,375,053.46/411,641.70
  6. Step 6: Final answer
    x = 459,485.46

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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.