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Finding the Fourth Proportional to 274,499.84, 411,816.40 and 87,511.20

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Solution

The fourth proportional to 274,499.84, 411,816.40 and 87,511.20 is: 131,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,499.84 : 411,816.40 = 87,511.20 : x
  2. Step 2: Convert to fraction form
    274,499.84/411,816.40 = 87,511.20/x
  3. Step 3: Cross multiply
    274,499.84x = 411,816.40 × 87,511.20
  4. Step 4: Simplify right side
    274,499.84x = 36,038,547,343.68
  5. Step 5: Solve for x
    x = 36,038,547,343.68/274,499.84
  6. Step 6: Final answer
    x = 131,288.04

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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.