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Finding the Fourth Proportional to 513,671.46, 708,926.49 and 298,820.58

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Solution

The fourth proportional to 513,671.46, 708,926.49 and 298,820.58 is: 412,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,671.46 : 708,926.49 = 298,820.58 : x
  2. Step 2: Convert to fraction form
    513,671.46/708,926.49 = 298,820.58/x
  3. Step 3: Cross multiply
    513,671.46x = 708,926.49 × 298,820.58
  4. Step 4: Simplify right side
    513,671.46x = 211,841,824,919.16
  5. Step 5: Solve for x
    x = 211,841,824,919.16/513,671.46
  6. Step 6: Final answer
    x = 412,407.23

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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.