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Finding the Fourth Proportional to 287,630.62, 431,640.34 and 100,643.74

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Solution

The fourth proportional to 287,630.62, 431,640.34 and 100,643.74 is: 151,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,630.62 : 431,640.34 = 100,643.74 : x
  2. Step 2: Convert to fraction form
    287,630.62/431,640.34 = 100,643.74/x
  3. Step 3: Cross multiply
    287,630.62x = 431,640.34 × 100,643.74
  4. Step 4: Simplify right side
    287,630.62x = 43,441,898,152.47
  5. Step 5: Solve for x
    x = 43,441,898,152.47/287,630.62
  6. Step 6: Final answer
    x = 151,033.64

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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.