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Finding the Fourth Proportional to 513,080.35, 708,050.43 and 309,139.88

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Solution

The fourth proportional to 513,080.35, 708,050.43 and 309,139.88 is: 426,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,080.35 : 708,050.43 = 309,139.88 : x
  2. Step 2: Convert to fraction form
    513,080.35/708,050.43 = 309,139.88/x
  3. Step 3: Cross multiply
    513,080.35x = 708,050.43 × 309,139.88
  4. Step 4: Simplify right side
    513,080.35x = 218,886,621,423.90
  5. Step 5: Solve for x
    x = 218,886,621,423.90/513,080.35
  6. Step 6: Final answer
    x = 426,612.76

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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.