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Finding the Fourth Proportional to 411,322.29, 616,982.20 and 145,018.59

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Solution

The fourth proportional to 411,322.29, 616,982.20 and 145,018.59 is: 217,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,322.29 : 616,982.20 = 145,018.59 : x
  2. Step 2: Convert to fraction form
    411,322.29/616,982.20 = 145,018.59/x
  3. Step 3: Cross multiply
    411,322.29x = 616,982.20 × 145,018.59
  4. Step 4: Simplify right side
    411,322.29x = 89,473,888,699.10
  5. Step 5: Solve for x
    x = 89,473,888,699.10/411,322.29
  6. Step 6: Final answer
    x = 217,527.45

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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.