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Finding the Fourth Proportional to 513,193.92, 708,222.72 and 286,840

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Solution

The fourth proportional to 513,193.92, 708,222.72 and 286,840 is: 395,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,193.92 : 708,222.72 = 286,840 : x
  2. Step 2: Convert to fraction form
    513,193.92/708,222.72 = 286,840/x
  3. Step 3: Cross multiply
    513,193.92x = 708,222.72 × 286,840
  4. Step 4: Simplify right side
    513,193.92x = 203,146,605,004.80
  5. Step 5: Solve for x
    x = 203,146,605,004.80/513,193.92
  6. Step 6: Final answer
    x = 395,847.65

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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.