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Finding the Fourth Proportional to 513,140.96, 708,113.61 and 283,683.65

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Solution

The fourth proportional to 513,140.96, 708,113.61 and 283,683.65 is: 391,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,140.96 : 708,113.61 = 283,683.65 : x
  2. Step 2: Convert to fraction form
    513,140.96/708,113.61 = 283,683.65/x
  3. Step 3: Cross multiply
    513,140.96x = 708,113.61 × 283,683.65
  4. Step 4: Simplify right side
    513,140.96x = 200,880,253,499.48
  5. Step 5: Solve for x
    x = 200,880,253,499.48/513,140.96
  6. Step 6: Final answer
    x = 391,471.87

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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.