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Finding the Fourth Proportional to 513,506.45, 708,400.10 and 332,276.88

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Solution

The fourth proportional to 513,506.45, 708,400.10 and 332,276.88 is: 458,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,506.45 : 708,400.10 = 332,276.88 : x
  2. Step 2: Convert to fraction form
    513,506.45/708,400.10 = 332,276.88/x
  3. Step 3: Cross multiply
    513,506.45x = 708,400.10 × 332,276.88
  4. Step 4: Simplify right side
    513,506.45x = 235,384,975,850.38
  5. Step 5: Solve for x
    x = 235,384,975,850.38/513,506.45
  6. Step 6: Final answer
    x = 458,387.57

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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.