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Finding the Fourth Proportional to 287,643.77, 431,527.93 and 110,150.78

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Solution

The fourth proportional to 287,643.77, 431,527.93 and 110,150.78 is: 165,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.77 : 431,527.93 = 110,150.78 : x
  2. Step 2: Convert to fraction form
    287,643.77/431,527.93 = 110,150.78/x
  3. Step 3: Cross multiply
    287,643.77x = 431,527.93 × 110,150.78
  4. Step 4: Simplify right side
    287,643.77x = 47,533,137,171.74
  5. Step 5: Solve for x
    x = 47,533,137,171.74/287,643.77
  6. Step 6: Final answer
    x = 165,250.02

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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.