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Finding the Fourth Proportional to 411,030.46, 616,478.46 and 144,728.38

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Solution

The fourth proportional to 411,030.46, 616,478.46 and 144,728.38 is: 217,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,030.46 : 616,478.46 = 144,728.38 : x
  2. Step 2: Convert to fraction form
    411,030.46/616,478.46 = 144,728.38/x
  3. Step 3: Cross multiply
    411,030.46x = 616,478.46 × 144,728.38
  4. Step 4: Simplify right side
    411,030.46x = 89,221,928,820.69
  5. Step 5: Solve for x
    x = 89,221,928,820.69/411,030.46
  6. Step 6: Final answer
    x = 217,068.90

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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.