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Finding the Fourth Proportional to 421,374.84, 632,080.72 and 121,885.70

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Solution

The fourth proportional to 421,374.84, 632,080.72 and 121,885.70 is: 182,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,374.84 : 632,080.72 = 121,885.70 : x
  2. Step 2: Convert to fraction form
    421,374.84/632,080.72 = 121,885.70/x
  3. Step 3: Cross multiply
    421,374.84x = 632,080.72 × 121,885.70
  4. Step 4: Simplify right side
    421,374.84x = 77,041,601,013.70
  5. Step 5: Solve for x
    x = 77,041,601,013.70/421,374.84
  6. Step 6: Final answer
    x = 182,833.89

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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.