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Finding the Fourth Proportional to 513,759.68, 708,998.56 and 309,809.60

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Solution

The fourth proportional to 513,759.68, 708,998.56 and 309,809.60 is: 427,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,759.68 : 708,998.56 = 309,809.60 : x
  2. Step 2: Convert to fraction form
    513,759.68/708,998.56 = 309,809.60/x
  3. Step 3: Cross multiply
    513,759.68x = 708,998.56 × 309,809.60
  4. Step 4: Simplify right side
    513,759.68x = 219,654,560,274.18
  5. Step 5: Solve for x
    x = 219,654,560,274.18/513,759.68
  6. Step 6: Final answer
    x = 427,543.40

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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.