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Finding the Fourth Proportional to 442,514.93, 610,513.13 and 261,136.08

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Solution

The fourth proportional to 442,514.93, 610,513.13 and 261,136.08 is: 360,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,514.93 : 610,513.13 = 261,136.08 : x
  2. Step 2: Convert to fraction form
    442,514.93/610,513.13 = 261,136.08/x
  3. Step 3: Cross multiply
    442,514.93x = 610,513.13 × 261,136.08
  4. Step 4: Simplify right side
    442,514.93x = 159,427,006,209.57
  5. Step 5: Solve for x
    x = 159,427,006,209.57/442,514.93
  6. Step 6: Final answer
    x = 360,274.87

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1.5x scale

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.