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Finding the Fourth Proportional to 513,047.77, 707,833.31 and 331,988.77

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Solution

The fourth proportional to 513,047.77, 707,833.31 and 331,988.77 is: 458,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,047.77 : 707,833.31 = 331,988.77 : x
  2. Step 2: Convert to fraction form
    513,047.77/707,833.31 = 331,988.77/x
  3. Step 3: Cross multiply
    513,047.77x = 707,833.31 × 331,988.77
  4. Step 4: Simplify right side
    513,047.77x = 234,992,706,522.40
  5. Step 5: Solve for x
    x = 234,992,706,522.40/513,047.77
  6. Step 6: Final answer
    x = 458,032.80

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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.