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Finding the Fourth Proportional to 420,881.40, 631,324.53 and 140,397.84

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Solution

The fourth proportional to 420,881.40, 631,324.53 and 140,397.84 is: 210,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,881.40 : 631,324.53 = 140,397.84 : x
  2. Step 2: Convert to fraction form
    420,881.40/631,324.53 = 140,397.84/x
  3. Step 3: Cross multiply
    420,881.40x = 631,324.53 × 140,397.84
  4. Step 4: Simplify right side
    420,881.40x = 88,636,600,351.02
  5. Step 5: Solve for x
    x = 88,636,600,351.02/420,881.40
  6. Step 6: Final answer
    x = 210,597.57

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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.