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Finding the Fourth Proportional to 385,591.46, 578,411.69 and 119,329.61

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Solution

The fourth proportional to 385,591.46, 578,411.69 and 119,329.61 is: 179,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,591.46 : 578,411.69 = 119,329.61 : x
  2. Step 2: Convert to fraction form
    385,591.46/578,411.69 = 119,329.61/x
  3. Step 3: Cross multiply
    385,591.46x = 578,411.69 × 119,329.61
  4. Step 4: Simplify right side
    385,591.46x = 69,021,637,898.43
  5. Step 5: Solve for x
    x = 69,021,637,898.43/385,591.46
  6. Step 6: Final answer
    x = 179,001.99

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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.