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Finding the Fourth Proportional to 513,073.92, 708,042.96 and 286,719.42

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Solution

The fourth proportional to 513,073.92, 708,042.96 and 286,719.42 is: 395,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,073.92 : 708,042.96 = 286,719.42 : x
  2. Step 2: Convert to fraction form
    513,073.92/708,042.96 = 286,719.42/x
  3. Step 3: Cross multiply
    513,073.92x = 708,042.96 × 286,719.42
  4. Step 4: Simplify right side
    513,073.92x = 203,009,666,826.28
  5. Step 5: Solve for x
    x = 203,009,666,826.28/513,073.92
  6. Step 6: Final answer
    x = 395,673.33

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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.