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Finding the Fourth Proportional to 513,099.38, 708,072.08 and 286,744.88

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Solution

The fourth proportional to 513,099.38, 708,072.08 and 286,744.88 is: 395,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,099.38 : 708,072.08 = 286,744.88 : x
  2. Step 2: Convert to fraction form
    513,099.38/708,072.08 = 286,744.88/x
  3. Step 3: Cross multiply
    513,099.38x = 708,072.08 × 286,744.88
  4. Step 4: Simplify right side
    513,099.38x = 203,036,043,610.95
  5. Step 5: Solve for x
    x = 203,036,043,610.95/513,099.38
  6. Step 6: Final answer
    x = 395,705.10

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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.