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Finding the Fourth Proportional to 200,304.90, 276,420.78 and 109,661.40

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Solution

The fourth proportional to 200,304.90, 276,420.78 and 109,661.40 is: 151,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,304.90 : 276,420.78 = 109,661.40 : x
  2. Step 2: Convert to fraction form
    200,304.90/276,420.78 = 109,661.40/x
  3. Step 3: Cross multiply
    200,304.90x = 276,420.78 × 109,661.40
  4. Step 4: Simplify right side
    200,304.90x = 30,312,689,723.89
  5. Step 5: Solve for x
    x = 30,312,689,723.89/200,304.90
  6. Step 6: Final answer
    x = 151,332.74

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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.