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Finding the Fourth Proportional to 491,417.68, 678,239.04 and 284,656

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Solution

The fourth proportional to 491,417.68, 678,239.04 and 284,656 is: 392,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,417.68 : 678,239.04 = 284,656 : x
  2. Step 2: Convert to fraction form
    491,417.68/678,239.04 = 284,656/x
  3. Step 3: Cross multiply
    491,417.68x = 678,239.04 × 284,656
  4. Step 4: Simplify right side
    491,417.68x = 193,064,812,170.24
  5. Step 5: Solve for x
    x = 193,064,812,170.24/491,417.68
  6. Step 6: Final answer
    x = 392,873.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.