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Finding the Fourth Proportional to 642,857.76, 964,421.50 and 243,489.69

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Solution

The fourth proportional to 642,857.76, 964,421.50 and 243,489.69 is: 365,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,857.76 : 964,421.50 = 243,489.69 : x
  2. Step 2: Convert to fraction form
    642,857.76/964,421.50 = 243,489.69/x
  3. Step 3: Cross multiply
    642,857.76x = 964,421.50 × 243,489.69
  4. Step 4: Simplify right side
    642,857.76x = 234,826,691,455.61
  5. Step 5: Solve for x
    x = 234,826,691,455.61/642,857.76
  6. Step 6: Final answer
    x = 365,285.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.