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Finding the Fourth Proportional to 268,439.40, 402,664.86 and 97,655.40

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Solution

The fourth proportional to 268,439.40, 402,664.86 and 97,655.40 is: 146,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,439.40 : 402,664.86 = 97,655.40 : x
  2. Step 2: Convert to fraction form
    268,439.40/402,664.86 = 97,655.40/x
  3. Step 3: Cross multiply
    268,439.40x = 402,664.86 × 97,655.40
  4. Step 4: Simplify right side
    268,439.40x = 39,322,397,969.24
  5. Step 5: Solve for x
    x = 39,322,397,969.24/268,439.40
  6. Step 6: Final answer
    x = 146,485.20

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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.