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Finding the Fourth Proportional to 268,952.35, 403,428.53 and 256,705.15

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Solution

The fourth proportional to 268,952.35, 403,428.53 and 256,705.15 is: 385,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,952.35 : 403,428.53 = 256,705.15 : x
  2. Step 2: Convert to fraction form
    268,952.35/403,428.53 = 256,705.15/x
  3. Step 3: Cross multiply
    268,952.35x = 403,428.53 × 256,705.15
  4. Step 4: Simplify right side
    268,952.35x = 103,562,180,024.40
  5. Step 5: Solve for x
    x = 103,562,180,024.40/268,952.35
  6. Step 6: Final answer
    x = 385,057.73

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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.