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Finding the Fourth Proportional to 420,892.51, 631,432.06 and 121,349.72

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Solution

The fourth proportional to 420,892.51, 631,432.06 and 121,349.72 is: 182,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,892.51 : 631,432.06 = 121,349.72 : x
  2. Step 2: Convert to fraction form
    420,892.51/631,432.06 = 121,349.72/x
  3. Step 3: Cross multiply
    420,892.51x = 631,432.06 × 121,349.72
  4. Step 4: Simplify right side
    420,892.51x = 76,624,103,680.02
  5. Step 5: Solve for x
    x = 76,624,103,680.02/420,892.51
  6. Step 6: Final answer
    x = 182,051.48

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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.