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Finding the Fourth Proportional to 413,132.80, 619,699.20 and 393,449.80

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Solution

The fourth proportional to 413,132.80, 619,699.20 and 393,449.80 is: 590,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,132.80 : 619,699.20 = 393,449.80 : x
  2. Step 2: Convert to fraction form
    413,132.80/619,699.20 = 393,449.80/x
  3. Step 3: Cross multiply
    413,132.80x = 619,699.20 × 393,449.80
  4. Step 4: Simplify right side
    413,132.80x = 243,820,526,300.16
  5. Step 5: Solve for x
    x = 243,820,526,300.16/413,132.80
  6. Step 6: Final answer
    x = 590,174.70

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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.