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Finding the Fourth Proportional to 386,129.59, 579,186 and 105,646.84

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Solution

The fourth proportional to 386,129.59, 579,186 and 105,646.84 is: 158,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,129.59 : 579,186 = 105,646.84 : x
  2. Step 2: Convert to fraction form
    386,129.59/579,186 = 105,646.84/x
  3. Step 3: Cross multiply
    386,129.59x = 579,186 × 105,646.84
  4. Step 4: Simplify right side
    386,129.59x = 61,189,170,672.24
  5. Step 5: Solve for x
    x = 61,189,170,672.24/386,129.59
  6. Step 6: Final answer
    x = 158,467.97

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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.