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Finding the Fourth Proportional to 254,449.80, 381,674.70 and 64,909.80

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Solution

The fourth proportional to 254,449.80, 381,674.70 and 64,909.80 is: 97,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,449.80 : 381,674.70 = 64,909.80 : x
  2. Step 2: Convert to fraction form
    254,449.80/381,674.70 = 64,909.80/x
  3. Step 3: Cross multiply
    254,449.80x = 381,674.70 × 64,909.80
  4. Step 4: Simplify right side
    254,449.80x = 24,774,428,442.06
  5. Step 5: Solve for x
    x = 24,774,428,442.06/254,449.80
  6. Step 6: Final answer
    x = 97,364.70

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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.