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Finding the Fourth Proportional to 287,643.96, 431,528.21 and 110,150.98

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Solution

The fourth proportional to 287,643.96, 431,528.21 and 110,150.98 is: 165,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.96 : 431,528.21 = 110,150.98 : x
  2. Step 2: Convert to fraction form
    287,643.96/431,528.21 = 110,150.98/x
  3. Step 3: Cross multiply
    287,643.96x = 431,528.21 × 110,150.98
  4. Step 4: Simplify right side
    287,643.96x = 47,533,255,229.15
  5. Step 5: Solve for x
    x = 47,533,255,229.15/287,643.96
  6. Step 6: Final answer
    x = 165,250.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.