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Finding the Fourth Proportional to 423,112.32, 634,689.60 and 138,777.64

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Solution

The fourth proportional to 423,112.32, 634,689.60 and 138,777.64 is: 208,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,112.32 : 634,689.60 = 138,777.64 : x
  2. Step 2: Convert to fraction form
    423,112.32/634,689.60 = 138,777.64/x
  3. Step 3: Cross multiply
    423,112.32x = 634,689.60 × 138,777.64
  4. Step 4: Simplify right side
    423,112.32x = 88,080,724,820.54
  5. Step 5: Solve for x
    x = 88,080,724,820.54/423,112.32
  6. Step 6: Final answer
    x = 208,173.39

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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.