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Finding the Fourth Proportional to 308,289.78, 462,697.11 and 121,432.50

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Solution

The fourth proportional to 308,289.78, 462,697.11 and 121,432.50 is: 182,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,289.78 : 462,697.11 = 121,432.50 : x
  2. Step 2: Convert to fraction form
    308,289.78/462,697.11 = 121,432.50/x
  3. Step 3: Cross multiply
    308,289.78x = 462,697.11 × 121,432.50
  4. Step 4: Simplify right side
    308,289.78x = 56,186,466,810.08
  5. Step 5: Solve for x
    x = 56,186,466,810.08/308,289.78
  6. Step 6: Final answer
    x = 182,252.12

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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.