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Finding the Fourth Proportional to 421,959.80, 633,244.62 and 165,830.48

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Solution

The fourth proportional to 421,959.80, 633,244.62 and 165,830.48 is: 248,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,959.80 : 633,244.62 = 165,830.48 : x
  2. Step 2: Convert to fraction form
    421,959.80/633,244.62 = 165,830.48/x
  3. Step 3: Cross multiply
    421,959.80x = 633,244.62 × 165,830.48
  4. Step 4: Simplify right side
    421,959.80x = 105,011,259,292.02
  5. Step 5: Solve for x
    x = 105,011,259,292.02/421,959.80
  6. Step 6: Final answer
    x = 248,865.55

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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.