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Finding the Fourth Proportional to 305,042.54, 457,543.76 and 105,365.79

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Solution

The fourth proportional to 305,042.54, 457,543.76 and 105,365.79 is: 158,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,042.54 : 457,543.76 = 105,365.79 : x
  2. Step 2: Convert to fraction form
    305,042.54/457,543.76 = 105,365.79/x
  3. Step 3: Cross multiply
    305,042.54x = 457,543.76 × 105,365.79
  4. Step 4: Simplify right side
    305,042.54x = 48,209,459,205.14
  5. Step 5: Solve for x
    x = 48,209,459,205.14/305,042.54
  6. Step 6: Final answer
    x = 158,041.76

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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.