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Finding the Fourth Proportional to 265,692.60, 398,001.30 and 165,545.40

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Solution

The fourth proportional to 265,692.60, 398,001.30 and 165,545.40 is: 247,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,692.60 : 398,001.30 = 165,545.40 : x
  2. Step 2: Convert to fraction form
    265,692.60/398,001.30 = 165,545.40/x
  3. Step 3: Cross multiply
    265,692.60x = 398,001.30 × 165,545.40
  4. Step 4: Simplify right side
    265,692.60x = 65,887,284,409.02
  5. Step 5: Solve for x
    x = 65,887,284,409.02/265,692.60
  6. Step 6: Final answer
    x = 247,983.14

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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.