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Finding the Fourth Proportional to 410,545.20, 615,817.80 and 242,583.60

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Solution

The fourth proportional to 410,545.20, 615,817.80 and 242,583.60 is: 363,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,545.20 : 615,817.80 = 242,583.60 : x
  2. Step 2: Convert to fraction form
    410,545.20/615,817.80 = 242,583.60/x
  3. Step 3: Cross multiply
    410,545.20x = 615,817.80 × 242,583.60
  4. Step 4: Simplify right side
    410,545.20x = 149,387,298,868.08
  5. Step 5: Solve for x
    x = 149,387,298,868.08/410,545.20
  6. Step 6: Final answer
    x = 363,875.40

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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.