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Finding the Fourth Proportional to 513,047.01, 707,832.27 and 331,988.02

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Solution

The fourth proportional to 513,047.01, 707,832.27 and 331,988.02 is: 458,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,047.01 : 707,832.27 = 331,988.02 : x
  2. Step 2: Convert to fraction form
    513,047.01/707,832.27 = 331,988.02/x
  3. Step 3: Cross multiply
    513,047.01x = 707,832.27 × 331,988.02
  4. Step 4: Simplify right side
    513,047.01x = 234,991,832,039.83
  5. Step 5: Solve for x
    x = 234,991,832,039.83/513,047.01
  6. Step 6: Final answer
    x = 458,031.77

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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.