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Finding the Fourth Proportional to 421,876.64, 632,744.40 and 185,155.76

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Solution

The fourth proportional to 421,876.64, 632,744.40 and 185,155.76 is: 277,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,876.64 : 632,744.40 = 185,155.76 : x
  2. Step 2: Convert to fraction form
    421,876.64/632,744.40 = 185,155.76/x
  3. Step 3: Cross multiply
    421,876.64x = 632,744.40 × 185,155.76
  4. Step 4: Simplify right side
    421,876.64x = 117,156,270,267.74
  5. Step 5: Solve for x
    x = 117,156,270,267.74/421,876.64
  6. Step 6: Final answer
    x = 277,702.67

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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.