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Finding the Fourth Proportional to 268,711.56, 402,205.50 and 178,547.22

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Solution

The fourth proportional to 268,711.56, 402,205.50 and 178,547.22 is: 267,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,711.56 : 402,205.50 = 178,547.22 : x
  2. Step 2: Convert to fraction form
    268,711.56/402,205.50 = 178,547.22/x
  3. Step 3: Cross multiply
    268,711.56x = 402,205.50 × 178,547.22
  4. Step 4: Simplify right side
    268,711.56x = 71,812,673,893.71
  5. Step 5: Solve for x
    x = 71,812,673,893.71/268,711.56
  6. Step 6: Final answer
    x = 267,248.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.