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Finding the Fourth Proportional to 421,789.32, 632,683.98 and 185,134.05

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Solution

The fourth proportional to 421,789.32, 632,683.98 and 185,134.05 is: 277,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,789.32 : 632,683.98 = 185,134.05 : x
  2. Step 2: Convert to fraction form
    421,789.32/632,683.98 = 185,134.05/x
  3. Step 3: Cross multiply
    421,789.32x = 632,683.98 × 185,134.05
  4. Step 4: Simplify right side
    421,789.32x = 117,131,347,587.52
  5. Step 5: Solve for x
    x = 117,131,347,587.52/421,789.32
  6. Step 6: Final answer
    x = 277,701.08

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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.