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Finding the Fourth Proportional to 411,148.63, 616,765.25 and 155,196.78

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Solution

The fourth proportional to 411,148.63, 616,765.25 and 155,196.78 is: 232,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,148.63 : 616,765.25 = 155,196.78 : x
  2. Step 2: Convert to fraction form
    411,148.63/616,765.25 = 155,196.78/x
  3. Step 3: Cross multiply
    411,148.63x = 616,765.25 × 155,196.78
  4. Step 4: Simplify right side
    411,148.63x = 95,719,980,815.90
  5. Step 5: Solve for x
    x = 95,719,980,815.90/411,148.63
  6. Step 6: Final answer
    x = 232,811.14

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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.