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Finding the Fourth Proportional to 385,545.30, 578,145.15 and 175,074.90

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Solution

The fourth proportional to 385,545.30, 578,145.15 and 175,074.90 is: 262,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,545.30 : 578,145.15 = 175,074.90 : x
  2. Step 2: Convert to fraction form
    385,545.30/578,145.15 = 175,074.90/x
  3. Step 3: Cross multiply
    385,545.30x = 578,145.15 × 175,074.90
  4. Step 4: Simplify right side
    385,545.30x = 101,218,704,321.74
  5. Step 5: Solve for x
    x = 101,218,704,321.74/385,545.30
  6. Step 6: Final answer
    x = 262,533.88

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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.