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Finding the Fourth Proportional to 287,851.10, 431,776.65 and 100,838.30

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Solution

The fourth proportional to 287,851.10, 431,776.65 and 100,838.30 is: 151,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,851.10 : 431,776.65 = 100,838.30 : x
  2. Step 2: Convert to fraction form
    287,851.10/431,776.65 = 100,838.30/x
  3. Step 3: Cross multiply
    287,851.10x = 431,776.65 × 100,838.30
  4. Step 4: Simplify right side
    287,851.10x = 43,539,623,365.70
  5. Step 5: Solve for x
    x = 43,539,623,365.70/287,851.10
  6. Step 6: Final answer
    x = 151,257.45

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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.