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Finding the Fourth Proportional to 287,913.80, 431,319.90 and 154,749.80

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Solution

The fourth proportional to 287,913.80, 431,319.90 and 154,749.80 is: 231,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,913.80 : 431,319.90 = 154,749.80 : x
  2. Step 2: Convert to fraction form
    287,913.80/431,319.90 = 154,749.80/x
  3. Step 3: Cross multiply
    287,913.80x = 431,319.90 × 154,749.80
  4. Step 4: Simplify right side
    287,913.80x = 66,746,668,261.02
  5. Step 5: Solve for x
    x = 66,746,668,261.02/287,913.80
  6. Step 6: Final answer
    x = 231,828.65

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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.