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Finding the Fourth Proportional to 385,758.54, 578,426.88 and 306,306.88

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Solution

The fourth proportional to 385,758.54, 578,426.88 and 306,306.88 is: 459,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,758.54 : 578,426.88 = 306,306.88 : x
  2. Step 2: Convert to fraction form
    385,758.54/578,426.88 = 306,306.88/x
  3. Step 3: Cross multiply
    385,758.54x = 578,426.88 × 306,306.88
  4. Step 4: Simplify right side
    385,758.54x = 177,176,132,920.93
  5. Step 5: Solve for x
    x = 177,176,132,920.93/385,758.54
  6. Step 6: Final answer
    x = 459,292.83

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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.