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Finding the Fourth Proportional to 420,937.06, 631,682.38 and 154,699.86

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Solution

The fourth proportional to 420,937.06, 631,682.38 and 154,699.86 is: 232,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,937.06 : 631,682.38 = 154,699.86 : x
  2. Step 2: Convert to fraction form
    420,937.06/631,682.38 = 154,699.86/x
  3. Step 3: Cross multiply
    420,937.06x = 631,682.38 × 154,699.86
  4. Step 4: Simplify right side
    420,937.06x = 97,721,175,750.47
  5. Step 5: Solve for x
    x = 97,721,175,750.47/420,937.06
  6. Step 6: Final answer
    x = 232,151.51

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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.