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Finding the Fourth Proportional to 510,790.68, 704,266.56 and 319,471.92

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Solution

The fourth proportional to 510,790.68, 704,266.56 and 319,471.92 is: 440,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,790.68 : 704,266.56 = 319,471.92 : x
  2. Step 2: Convert to fraction form
    510,790.68/704,266.56 = 319,471.92/x
  3. Step 3: Cross multiply
    510,790.68x = 704,266.56 × 319,471.92
  4. Step 4: Simplify right side
    510,790.68x = 224,993,390,115.00
  5. Step 5: Solve for x
    x = 224,993,390,115.00/510,790.68
  6. Step 6: Final answer
    x = 440,480.61

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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.