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Finding the Fourth Proportional to 513,765.86, 709,139.50 and 298,947.56

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Solution

The fourth proportional to 513,765.86, 709,139.50 and 298,947.56 is: 412,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,765.86 : 709,139.50 = 298,947.56 : x
  2. Step 2: Convert to fraction form
    513,765.86/709,139.50 = 298,947.56/x
  3. Step 3: Cross multiply
    513,765.86x = 709,139.50 × 298,947.56
  4. Step 4: Simplify right side
    513,765.86x = 211,995,518,931.55
  5. Step 5: Solve for x
    x = 211,995,518,931.55/513,765.86
  6. Step 6: Final answer
    x = 412,630.61

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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.