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Finding the Fourth Proportional to 601,642.80, 830,644.56 and 387,155.64

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Solution

The fourth proportional to 601,642.80, 830,644.56 and 387,155.64 is: 534,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,642.80 : 830,644.56 = 387,155.64 : x
  2. Step 2: Convert to fraction form
    601,642.80/830,644.56 = 387,155.64/x
  3. Step 3: Cross multiply
    601,642.80x = 830,644.56 × 387,155.64
  4. Step 4: Simplify right side
    601,642.80x = 321,588,726,239.32
  5. Step 5: Solve for x
    x = 321,588,726,239.32/601,642.80
  6. Step 6: Final answer
    x = 534,517.70

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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.