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Finding the Fourth Proportional to 385,528.65, 578,182 and 132,798.93

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Solution

The fourth proportional to 385,528.65, 578,182 and 132,798.93 is: 199,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,528.65 : 578,182 = 132,798.93 : x
  2. Step 2: Convert to fraction form
    385,528.65/578,182 = 132,798.93/x
  3. Step 3: Cross multiply
    385,528.65x = 578,182 × 132,798.93
  4. Step 4: Simplify right side
    385,528.65x = 76,781,950,945.26
  5. Step 5: Solve for x
    x = 76,781,950,945.26/385,528.65
  6. Step 6: Final answer
    x = 199,160.17

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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.