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Finding the Fourth Proportional to 305,582.16, 421,695.33 and 169,615.74

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Solution

The fourth proportional to 305,582.16, 421,695.33 and 169,615.74 is: 234,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,582.16 : 421,695.33 = 169,615.74 : x
  2. Step 2: Convert to fraction form
    305,582.16/421,695.33 = 169,615.74/x
  3. Step 3: Cross multiply
    305,582.16x = 421,695.33 × 169,615.74
  4. Step 4: Simplify right side
    305,582.16x = 71,526,165,452.49
  5. Step 5: Solve for x
    x = 71,526,165,452.49/305,582.16
  6. Step 6: Final answer
    x = 234,065.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.