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Finding the Fourth Proportional to 513,351.12, 708,455.52 and 286,998.24

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Solution

The fourth proportional to 513,351.12, 708,455.52 and 286,998.24 is: 396,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,351.12 : 708,455.52 = 286,998.24 : x
  2. Step 2: Convert to fraction form
    513,351.12/708,455.52 = 286,998.24/x
  3. Step 3: Cross multiply
    513,351.12x = 708,455.52 × 286,998.24
  4. Step 4: Simplify right side
    513,351.12x = 203,325,487,358.29
  5. Step 5: Solve for x
    x = 203,325,487,358.29/513,351.12
  6. Step 6: Final answer
    x = 396,074.89

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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.