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Finding the Fourth Proportional to 407,538.90, 611,335.35 and 108,015.30

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Solution

The fourth proportional to 407,538.90, 611,335.35 and 108,015.30 is: 162,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,538.90 : 611,335.35 = 108,015.30 : x
  2. Step 2: Convert to fraction form
    407,538.90/611,335.35 = 108,015.30/x
  3. Step 3: Cross multiply
    407,538.90x = 611,335.35 × 108,015.30
  4. Step 4: Simplify right side
    407,538.90x = 66,033,571,230.86
  5. Step 5: Solve for x
    x = 66,033,571,230.86/407,538.90
  6. Step 6: Final answer
    x = 162,030.11

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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.