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Finding the Fourth Proportional to 407,420.52, 611,730.70 and 227,857.76

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Solution

The fourth proportional to 407,420.52, 611,730.70 and 227,857.76 is: 342,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,420.52 : 611,730.70 = 227,857.76 : x
  2. Step 2: Convert to fraction form
    407,420.52/611,730.70 = 227,857.76/x
  3. Step 3: Cross multiply
    407,420.52x = 611,730.70 × 227,857.76
  4. Step 4: Simplify right side
    407,420.52x = 139,387,583,396.93
  5. Step 5: Solve for x
    x = 139,387,583,396.93/407,420.52
  6. Step 6: Final answer
    x = 342,122.15

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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.