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Finding the Fourth Proportional to 513,079.61, 708,049.40 and 309,139.11

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Solution

The fourth proportional to 513,079.61, 708,049.40 and 309,139.11 is: 426,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,079.61 : 708,049.40 = 309,139.11 : x
  2. Step 2: Convert to fraction form
    513,079.61/708,049.40 = 309,139.11/x
  3. Step 3: Cross multiply
    513,079.61x = 708,049.40 × 309,139.11
  4. Step 4: Simplify right side
    513,079.61x = 218,885,759,806.34
  5. Step 5: Solve for x
    x = 218,885,759,806.34/513,079.61
  6. Step 6: Final answer
    x = 426,611.69

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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.