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Finding the Fourth Proportional to 385,574.80, 532,099.79 and 211,160.29

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Solution

The fourth proportional to 385,574.80, 532,099.79 and 211,160.29 is: 291,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,574.80 : 532,099.79 = 211,160.29 : x
  2. Step 2: Convert to fraction form
    385,574.80/532,099.79 = 211,160.29/x
  3. Step 3: Cross multiply
    385,574.80x = 532,099.79 × 211,160.29
  4. Step 4: Simplify right side
    385,574.80x = 112,358,345,965.34
  5. Step 5: Solve for x
    x = 112,358,345,965.34/385,574.80
  6. Step 6: Final answer
    x = 291,404.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.