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Finding the Fourth Proportional to 420,956.98, 631,430.66 and 121,427.68

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Solution

The fourth proportional to 420,956.98, 631,430.66 and 121,427.68 is: 182,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,956.98 : 631,430.66 = 121,427.68 : x
  2. Step 2: Convert to fraction form
    420,956.98/631,430.66 = 121,427.68/x
  3. Step 3: Cross multiply
    420,956.98x = 631,430.66 × 121,427.68
  4. Step 4: Simplify right side
    420,956.98x = 76,673,160,124.67
  5. Step 5: Solve for x
    x = 76,673,160,124.67/420,956.98
  6. Step 6: Final answer
    x = 182,140.13

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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.