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Finding the Fourth Proportional to 265,801.87, 398,585.76 and 97,278.40

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Solution

The fourth proportional to 265,801.87, 398,585.76 and 97,278.40 is: 145,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,801.87 : 398,585.76 = 97,278.40 : x
  2. Step 2: Convert to fraction form
    265,801.87/398,585.76 = 97,278.40/x
  3. Step 3: Cross multiply
    265,801.87x = 398,585.76 × 97,278.40
  4. Step 4: Simplify right side
    265,801.87x = 38,773,784,995.58
  5. Step 5: Solve for x
    x = 38,773,784,995.58/265,801.87
  6. Step 6: Final answer
    x = 145,874.76

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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.