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Finding the Fourth Proportional to 287,067.80, 430,428.90 and 147,099.80

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Solution

The fourth proportional to 287,067.80, 430,428.90 and 147,099.80 is: 220,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,067.80 : 430,428.90 = 147,099.80 : x
  2. Step 2: Convert to fraction form
    287,067.80/430,428.90 = 147,099.80/x
  3. Step 3: Cross multiply
    287,067.80x = 430,428.90 × 147,099.80
  4. Step 4: Simplify right side
    287,067.80x = 63,316,005,104.22
  5. Step 5: Solve for x
    x = 63,316,005,104.22/287,067.80
  6. Step 6: Final answer
    x = 220,561.15

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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.