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Finding the Fourth Proportional to 305,357.77, 458,029.77 and 105,666.11

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Solution

The fourth proportional to 305,357.77, 458,029.77 and 105,666.11 is: 158,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,357.77 : 458,029.77 = 105,666.11 : x
  2. Step 2: Convert to fraction form
    305,357.77/458,029.77 = 105,666.11/x
  3. Step 3: Cross multiply
    305,357.77x = 458,029.77 × 105,666.11
  4. Step 4: Simplify right side
    305,357.77x = 48,398,224,060.09
  5. Step 5: Solve for x
    x = 48,398,224,060.09/305,357.77
  6. Step 6: Final answer
    x = 158,496.78

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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.