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Finding the Fourth Proportional to 309,965.20, 427,641.96 and 202,597.13

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Solution

The fourth proportional to 309,965.20, 427,641.96 and 202,597.13 is: 279,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,965.20 : 427,641.96 = 202,597.13 : x
  2. Step 2: Convert to fraction form
    309,965.20/427,641.96 = 202,597.13/x
  3. Step 3: Cross multiply
    309,965.20x = 427,641.96 × 202,597.13
  4. Step 4: Simplify right side
    309,965.20x = 86,639,035,592.42
  5. Step 5: Solve for x
    x = 86,639,035,592.42/309,965.20
  6. Step 6: Final answer
    x = 279,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.