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Finding the Fourth Proportional to 218,804.48, 301,943.04 and 138,275.20

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Solution

The fourth proportional to 218,804.48, 301,943.04 and 138,275.20 is: 190,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,804.48 : 301,943.04 = 138,275.20 : x
  2. Step 2: Convert to fraction form
    218,804.48/301,943.04 = 138,275.20/x
  3. Step 3: Cross multiply
    218,804.48x = 301,943.04 × 138,275.20
  4. Step 4: Simplify right side
    218,804.48x = 41,751,234,244.61
  5. Step 5: Solve for x
    x = 41,751,234,244.61/218,804.48
  6. Step 6: Final answer
    x = 190,815.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.