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Finding the Fourth Proportional to 268,971.80, 403,457.70 and 156,778.70

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Solution

The fourth proportional to 268,971.80, 403,457.70 and 156,778.70 is: 235,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,971.80 : 403,457.70 = 156,778.70 : x
  2. Step 2: Convert to fraction form
    268,971.80/403,457.70 = 156,778.70/x
  3. Step 3: Cross multiply
    268,971.80x = 403,457.70 × 156,778.70
  4. Step 4: Simplify right side
    268,971.80x = 63,253,573,710.99
  5. Step 5: Solve for x
    x = 63,253,573,710.99/268,971.80
  6. Step 6: Final answer
    x = 235,168.05

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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.