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Finding the Fourth Proportional to 420,641.76, 631,053.36 and 121,120.32

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Solution

The fourth proportional to 420,641.76, 631,053.36 and 121,120.32 is: 181,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.76 : 631,053.36 = 121,120.32 : x
  2. Step 2: Convert to fraction form
    420,641.76/631,053.36 = 121,120.32/x
  3. Step 3: Cross multiply
    420,641.76x = 631,053.36 × 121,120.32
  4. Step 4: Simplify right side
    420,641.76x = 76,433,384,900.28
  5. Step 5: Solve for x
    x = 76,433,384,900.28/420,641.76
  6. Step 6: Final answer
    x = 181,706.60

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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.