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Finding the Fourth Proportional to 385,532.94, 578,338.13 and 132,780.13

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Solution

The fourth proportional to 385,532.94, 578,338.13 and 132,780.13 is: 199,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,532.94 : 578,338.13 = 132,780.13 : x
  2. Step 2: Convert to fraction form
    385,532.94/578,338.13 = 132,780.13/x
  3. Step 3: Cross multiply
    385,532.94x = 578,338.13 × 132,780.13
  4. Step 4: Simplify right side
    385,532.94x = 76,791,812,085.36
  5. Step 5: Solve for x
    x = 76,791,812,085.36/385,532.94
  6. Step 6: Final answer
    x = 199,183.53

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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.