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Finding the Fourth Proportional to 421,880.64, 632,750.40 and 185,159.76

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Solution

The fourth proportional to 421,880.64, 632,750.40 and 185,159.76 is: 277,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,880.64 : 632,750.40 = 185,159.76 : x
  2. Step 2: Convert to fraction form
    421,880.64/632,750.40 = 185,159.76/x
  3. Step 3: Cross multiply
    421,880.64x = 632,750.40 × 185,159.76
  4. Step 4: Simplify right side
    421,880.64x = 117,159,912,203.90
  5. Step 5: Solve for x
    x = 117,159,912,203.90/421,880.64
  6. Step 6: Final answer
    x = 277,708.67

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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.