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Finding the Fourth Proportional to 402,857.20, 604,723.20 and 253,266.40

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Solution

The fourth proportional to 402,857.20, 604,723.20 and 253,266.40 is: 380,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,857.20 : 604,723.20 = 253,266.40 : x
  2. Step 2: Convert to fraction form
    402,857.20/604,723.20 = 253,266.40/x
  3. Step 3: Cross multiply
    402,857.20x = 604,723.20 × 253,266.40
  4. Step 4: Simplify right side
    402,857.20x = 153,156,067,860.48
  5. Step 5: Solve for x
    x = 153,156,067,860.48/402,857.20
  6. Step 6: Final answer
    x = 380,174.58

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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.