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Finding the Fourth Proportional to 265,884.90, 398,999.88 and 159,188.46

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Solution

The fourth proportional to 265,884.90, 398,999.88 and 159,188.46 is: 238,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,884.90 : 398,999.88 = 159,188.46 : x
  2. Step 2: Convert to fraction form
    265,884.90/398,999.88 = 159,188.46/x
  3. Step 3: Cross multiply
    265,884.90x = 398,999.88 × 159,188.46
  4. Step 4: Simplify right side
    265,884.90x = 63,516,176,437.38
  5. Step 5: Solve for x
    x = 63,516,176,437.38/265,884.90
  6. Step 6: Final answer
    x = 238,885.99

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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.