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Finding the Fourth Proportional to 538,489.29, 807,829.98 and 178,681.75

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Solution

The fourth proportional to 538,489.29, 807,829.98 and 178,681.75 is: 268,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,489.29 : 807,829.98 = 178,681.75 : x
  2. Step 2: Convert to fraction form
    538,489.29/807,829.98 = 178,681.75/x
  3. Step 3: Cross multiply
    538,489.29x = 807,829.98 × 178,681.75
  4. Step 4: Simplify right side
    538,489.29x = 144,344,474,528.87
  5. Step 5: Solve for x
    x = 144,344,474,528.87/538,489.29
  6. Step 6: Final answer
    x = 268,054.49

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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.