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Finding the Fourth Proportional to 513,149.96, 708,145.17 and 286,795.46

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Solution

The fourth proportional to 513,149.96, 708,145.17 and 286,795.46 is: 395,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,149.96 : 708,145.17 = 286,795.46 : x
  2. Step 2: Convert to fraction form
    513,149.96/708,145.17 = 286,795.46/x
  3. Step 3: Cross multiply
    513,149.96x = 708,145.17 × 286,795.46
  4. Step 4: Simplify right side
    513,149.96x = 203,092,816,488.49
  5. Step 5: Solve for x
    x = 203,092,816,488.49/513,149.96
  6. Step 6: Final answer
    x = 395,776.74

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1.5x scale

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.