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Finding the Fourth Proportional to 438,151, 657,226.56 and 105,727

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Solution

The fourth proportional to 438,151, 657,226.56 and 105,727 is: 158,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,151 : 657,226.56 = 105,727 : x
  2. Step 2: Convert to fraction form
    438,151/657,226.56 = 105,727/x
  3. Step 3: Cross multiply
    438,151x = 657,226.56 × 105,727
  4. Step 4: Simplify right side
    438,151x = 69,486,592,509.12
  5. Step 5: Solve for x
    x = 69,486,592,509.12/438,151
  6. Step 6: Final answer
    x = 158,590.51

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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.