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Finding the Fourth Proportional to 268,957.30, 403,435.95 and 156,764.20

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Solution

The fourth proportional to 268,957.30, 403,435.95 and 156,764.20 is: 235,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,957.30 : 403,435.95 = 156,764.20 : x
  2. Step 2: Convert to fraction form
    268,957.30/403,435.95 = 156,764.20/x
  3. Step 3: Cross multiply
    268,957.30x = 403,435.95 × 156,764.20
  4. Step 4: Simplify right side
    268,957.30x = 63,244,313,952.99
  5. Step 5: Solve for x
    x = 63,244,313,952.99/268,957.30
  6. Step 6: Final answer
    x = 235,146.30

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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.