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Finding the Fourth Proportional to 417,102.40, 625,653.60 and 400,772.80

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Solution

The fourth proportional to 417,102.40, 625,653.60 and 400,772.80 is: 601,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,102.40 : 625,653.60 = 400,772.80 : x
  2. Step 2: Convert to fraction form
    417,102.40/625,653.60 = 400,772.80/x
  3. Step 3: Cross multiply
    417,102.40x = 625,653.60 × 400,772.80
  4. Step 4: Simplify right side
    417,102.40x = 250,744,945,102.08
  5. Step 5: Solve for x
    x = 250,744,945,102.08/417,102.40
  6. Step 6: Final answer
    x = 601,159.20

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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.