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Finding the Fourth Proportional to 557,654.72, 769,545.86 and 328,159.14

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Solution

The fourth proportional to 557,654.72, 769,545.86 and 328,159.14 is: 452,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,654.72 : 769,545.86 = 328,159.14 : x
  2. Step 2: Convert to fraction form
    557,654.72/769,545.86 = 328,159.14/x
  3. Step 3: Cross multiply
    557,654.72x = 769,545.86 × 328,159.14
  4. Step 4: Simplify right side
    557,654.72x = 252,533,505,967.37
  5. Step 5: Solve for x
    x = 252,533,505,967.37/557,654.72
  6. Step 6: Final answer
    x = 452,849.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.