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Finding the Fourth Proportional to 438,051.60, 657,142.11 and 138,464.19

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Solution

The fourth proportional to 438,051.60, 657,142.11 and 138,464.19 is: 207,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,051.60 : 657,142.11 = 138,464.19 : x
  2. Step 2: Convert to fraction form
    438,051.60/657,142.11 = 138,464.19/x
  3. Step 3: Cross multiply
    438,051.60x = 657,142.11 × 138,464.19
  4. Step 4: Simplify right side
    438,051.60x = 90,990,649,976.04
  5. Step 5: Solve for x
    x = 90,990,649,976.04/438,051.60
  6. Step 6: Final answer
    x = 207,716.74

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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.