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Finding the Fourth Proportional to 289,216.60, 433,565.70 and 257,723.80

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Solution

The fourth proportional to 289,216.60, 433,565.70 and 257,723.80 is: 386,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216.60 : 433,565.70 = 257,723.80 : x
  2. Step 2: Convert to fraction form
    289,216.60/433,565.70 = 257,723.80/x
  3. Step 3: Cross multiply
    289,216.60x = 433,565.70 × 257,723.80
  4. Step 4: Simplify right side
    289,216.60x = 111,740,199,753.66
  5. Step 5: Solve for x
    x = 111,740,199,753.66/289,216.60
  6. Step 6: Final answer
    x = 386,354.72

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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.