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Finding the Fourth Proportional to 200,294.64, 276,406.02 and 115,411.50

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Solution

The fourth proportional to 200,294.64, 276,406.02 and 115,411.50 is: 159,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,294.64 : 276,406.02 = 115,411.50 : x
  2. Step 2: Convert to fraction form
    200,294.64/276,406.02 = 115,411.50/x
  3. Step 3: Cross multiply
    200,294.64x = 276,406.02 × 115,411.50
  4. Step 4: Simplify right side
    200,294.64x = 31,900,433,377.23
  5. Step 5: Solve for x
    x = 31,900,433,377.23/200,294.64
  6. Step 6: Final answer
    x = 159,267.53

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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.