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Finding the Fourth Proportional to 426,400.56, 638,901 and 145,764.72

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Solution

The fourth proportional to 426,400.56, 638,901 and 145,764.72 is: 218,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,400.56 : 638,901 = 145,764.72 : x
  2. Step 2: Convert to fraction form
    426,400.56/638,901 = 145,764.72/x
  3. Step 3: Cross multiply
    426,400.56x = 638,901 × 145,764.72
  4. Step 4: Simplify right side
    426,400.56x = 93,129,225,372.72
  5. Step 5: Solve for x
    x = 93,129,225,372.72/426,400.56
  6. Step 6: Final answer
    x = 218,407.84

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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.