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Finding the Fourth Proportional to 200,291.70, 300,418.11 and 52,547.70

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Solution

The fourth proportional to 200,291.70, 300,418.11 and 52,547.70 is: 78,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,291.70 : 300,418.11 = 52,547.70 : x
  2. Step 2: Convert to fraction form
    200,291.70/300,418.11 = 52,547.70/x
  3. Step 3: Cross multiply
    200,291.70x = 300,418.11 × 52,547.70
  4. Step 4: Simplify right side
    200,291.70x = 15,786,280,718.85
  5. Step 5: Solve for x
    x = 15,786,280,718.85/200,291.70
  6. Step 6: Final answer
    x = 78,816.45

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1.5x scale

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.