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Finding the Fourth Proportional to 305,306.56, 458,001.57 and 105,573.34

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Solution

The fourth proportional to 305,306.56, 458,001.57 and 105,573.34 is: 158,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,306.56 : 458,001.57 = 105,573.34 : x
  2. Step 2: Convert to fraction form
    305,306.56/458,001.57 = 105,573.34/x
  3. Step 3: Cross multiply
    305,306.56x = 458,001.57 × 105,573.34
  4. Step 4: Simplify right side
    305,306.56x = 48,352,755,470.14
  5. Step 5: Solve for x
    x = 48,352,755,470.14/305,306.56
  6. Step 6: Final answer
    x = 158,374.44

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1.5x scale

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.