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Finding the Fourth Proportional to 407,345.47, 610,491.03 and 227,426.20

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Solution

The fourth proportional to 407,345.47, 610,491.03 and 227,426.20 is: 340,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,345.47 : 610,491.03 = 227,426.20 : x
  2. Step 2: Convert to fraction form
    407,345.47/610,491.03 = 227,426.20/x
  3. Step 3: Cross multiply
    407,345.47x = 610,491.03 × 227,426.20
  4. Step 4: Simplify right side
    407,345.47x = 138,841,655,086.99
  5. Step 5: Solve for x
    x = 138,841,655,086.99/407,345.47
  6. Step 6: Final answer
    x = 340,844.97

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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.