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Finding the Fourth Proportional to 287,430.97, 431,330.92 and 192,768.01

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Solution

The fourth proportional to 287,430.97, 431,330.92 and 192,768.01 is: 289,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,430.97 : 431,330.92 = 192,768.01 : x
  2. Step 2: Convert to fraction form
    287,430.97/431,330.92 = 192,768.01/x
  3. Step 3: Cross multiply
    287,430.97x = 431,330.92 × 192,768.01
  4. Step 4: Simplify right side
    287,430.97x = 83,146,802,262.50
  5. Step 5: Solve for x
    x = 83,146,802,262.50/287,430.97
  6. Step 6: Final answer
    x = 289,275.73

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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.