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Finding the Fourth Proportional to 509,344.40, 763,141.80 and 242,530.40

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Solution

The fourth proportional to 509,344.40, 763,141.80 and 242,530.40 is: 363,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,344.40 : 763,141.80 = 242,530.40 : x
  2. Step 2: Convert to fraction form
    509,344.40/763,141.80 = 242,530.40/x
  3. Step 3: Cross multiply
    509,344.40x = 763,141.80 × 242,530.40
  4. Step 4: Simplify right side
    509,344.40x = 185,085,086,010.72
  5. Step 5: Solve for x
    x = 185,085,086,010.72/509,344.40
  6. Step 6: Final answer
    x = 363,379.05

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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.