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Finding the Fourth Proportional to 413,094.48, 618,851.76 and 279,318.12

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Solution

The fourth proportional to 413,094.48, 618,851.76 and 279,318.12 is: 418,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,094.48 : 618,851.76 = 279,318.12 : x
  2. Step 2: Convert to fraction form
    413,094.48/618,851.76 = 279,318.12/x
  3. Step 3: Cross multiply
    413,094.48x = 618,851.76 × 279,318.12
  4. Step 4: Simplify right side
    413,094.48x = 172,856,510,161.89
  5. Step 5: Solve for x
    x = 172,856,510,161.89/413,094.48
  6. Step 6: Final answer
    x = 418,443.04

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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.