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Finding the Fourth Proportional to 200,612.70, 280,332.90 and 200,612.70

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Solution

The fourth proportional to 200,612.70, 280,332.90 and 200,612.70 is: 280,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,612.70 : 280,332.90 = 200,612.70 : x
  2. Step 2: Convert to fraction form
    200,612.70/280,332.90 = 200,612.70/x
  3. Step 3: Cross multiply
    200,612.70x = 280,332.90 × 200,612.70
  4. Step 4: Simplify right side
    200,612.70x = 56,238,339,967.83
  5. Step 5: Solve for x
    x = 56,238,339,967.83/200,612.70
  6. Step 6: Final answer
    x = 280,332.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.