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Finding the Fourth Proportional to 512,931.15, 707,842.53 and 283,504.59

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Solution

The fourth proportional to 512,931.15, 707,842.53 and 283,504.59 is: 391,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,931.15 : 707,842.53 = 283,504.59 : x
  2. Step 2: Convert to fraction form
    512,931.15/707,842.53 = 283,504.59/x
  3. Step 3: Cross multiply
    512,931.15x = 707,842.53 × 283,504.59
  4. Step 4: Simplify right side
    512,931.15x = 200,676,606,252.21
  5. Step 5: Solve for x
    x = 200,676,606,252.21/512,931.15
  6. Step 6: Final answer
    x = 391,234.98

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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.