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Finding the Fourth Proportional to 420,640.76, 631,051.86 and 121,119.32

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Solution

The fourth proportional to 420,640.76, 631,051.86 and 121,119.32 is: 181,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,640.76 : 631,051.86 = 121,119.32 : x
  2. Step 2: Convert to fraction form
    420,640.76/631,051.86 = 121,119.32/x
  3. Step 3: Cross multiply
    420,640.76x = 631,051.86 × 121,119.32
  4. Step 4: Simplify right side
    420,640.76x = 76,432,572,167.94
  5. Step 5: Solve for x
    x = 76,432,572,167.94/420,640.76
  6. Step 6: Final answer
    x = 181,705.10

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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.