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Finding the Fourth Proportional to 420,891.51, 631,430.56 and 121,348.72

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Solution

The fourth proportional to 420,891.51, 631,430.56 and 121,348.72 is: 182,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,891.51 : 631,430.56 = 121,348.72 : x
  2. Step 2: Convert to fraction form
    420,891.51/631,430.56 = 121,348.72/x
  3. Step 3: Cross multiply
    420,891.51x = 631,430.56 × 121,348.72
  4. Step 4: Simplify right side
    420,891.51x = 76,623,291,165.86
  5. Step 5: Solve for x
    x = 76,623,291,165.86/420,891.51
  6. Step 6: Final answer
    x = 182,049.98

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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.