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Finding the Fourth Proportional to 287,978.65, 431,978.91 and 110,503.60

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Solution

The fourth proportional to 287,978.65, 431,978.91 and 110,503.60 is: 165,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,978.65 : 431,978.91 = 110,503.60 : x
  2. Step 2: Convert to fraction form
    287,978.65/431,978.91 = 110,503.60/x
  3. Step 3: Cross multiply
    287,978.65x = 431,978.91 × 110,503.60
  4. Step 4: Simplify right side
    287,978.65x = 47,735,224,679.08
  5. Step 5: Solve for x
    x = 47,735,224,679.08/287,978.65
  6. Step 6: Final answer
    x = 165,759.60

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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.