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Finding the Fourth Proportional to 403,398.20, 605,534.70 and 253,807.40

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Solution

The fourth proportional to 403,398.20, 605,534.70 and 253,807.40 is: 380,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,398.20 : 605,534.70 = 253,807.40 : x
  2. Step 2: Convert to fraction form
    403,398.20/605,534.70 = 253,807.40/x
  3. Step 3: Cross multiply
    403,398.20x = 605,534.70 × 253,807.40
  4. Step 4: Simplify right side
    403,398.20x = 153,689,187,816.78
  5. Step 5: Solve for x
    x = 153,689,187,816.78/403,398.20
  6. Step 6: Final answer
    x = 380,986.30

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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.