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Finding the Fourth Proportional to 381,344.66, 571,792.68 and 144,703.98

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Solution

The fourth proportional to 381,344.66, 571,792.68 and 144,703.98 is: 216,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,344.66 : 571,792.68 = 144,703.98 : x
  2. Step 2: Convert to fraction form
    381,344.66/571,792.68 = 144,703.98/x
  3. Step 3: Cross multiply
    381,344.66x = 571,792.68 × 144,703.98
  4. Step 4: Simplify right side
    381,344.66x = 82,740,676,530.87
  5. Step 5: Solve for x
    x = 82,740,676,530.87/381,344.66
  6. Step 6: Final answer
    x = 216,970.85

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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.