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Finding the Fourth Proportional to 410,187.20, 614,395.01 and 400,148.87

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Solution

The fourth proportional to 410,187.20, 614,395.01 and 400,148.87 is: 599,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,187.20 : 614,395.01 = 400,148.87 : x
  2. Step 2: Convert to fraction form
    410,187.20/614,395.01 = 400,148.87/x
  3. Step 3: Cross multiply
    410,187.20x = 614,395.01 × 400,148.87
  4. Step 4: Simplify right side
    410,187.20x = 245,849,463,912.42
  5. Step 5: Solve for x
    x = 245,849,463,912.42/410,187.20
  6. Step 6: Final answer
    x = 599,359.19

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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.