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Finding the Fourth Proportional to 438,296.64, 657,444.96 and 105,872.64

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Solution

The fourth proportional to 438,296.64, 657,444.96 and 105,872.64 is: 158,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,296.64 : 657,444.96 = 105,872.64 : x
  2. Step 2: Convert to fraction form
    438,296.64/657,444.96 = 105,872.64/x
  3. Step 3: Cross multiply
    438,296.64x = 657,444.96 × 105,872.64
  4. Step 4: Simplify right side
    438,296.64x = 69,605,433,569.89
  5. Step 5: Solve for x
    x = 69,605,433,569.89/438,296.64
  6. Step 6: Final answer
    x = 158,808.96

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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.