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Finding the Fourth Proportional to 656,464.59, 905,921.28 and 354,658.59

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Solution

The fourth proportional to 656,464.59, 905,921.28 and 354,658.59 is: 489,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,464.59 : 905,921.28 = 354,658.59 : x
  2. Step 2: Convert to fraction form
    656,464.59/905,921.28 = 354,658.59/x
  3. Step 3: Cross multiply
    656,464.59x = 905,921.28 × 354,658.59
  4. Step 4: Simplify right side
    656,464.59x = 321,292,763,815.80
  5. Step 5: Solve for x
    x = 321,292,763,815.80/656,464.59
  6. Step 6: Final answer
    x = 489,428.93

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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.