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Finding the Fourth Proportional to 513,373.46, 708,170.96 and 298,489.77

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Solution

The fourth proportional to 513,373.46, 708,170.96 and 298,489.77 is: 411,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,373.46 : 708,170.96 = 298,489.77 : x
  2. Step 2: Convert to fraction form
    513,373.46/708,170.96 = 298,489.77/x
  3. Step 3: Cross multiply
    513,373.46x = 708,170.96 × 298,489.77
  4. Step 4: Simplify right side
    513,373.46x = 211,381,785,478.63
  5. Step 5: Solve for x
    x = 211,381,785,478.63/513,373.46
  6. Step 6: Final answer
    x = 411,750.52

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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.