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Finding the Fourth Proportional to 309,543.84, 427,013.28 and 202,176.72

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Solution

The fourth proportional to 309,543.84, 427,013.28 and 202,176.72 is: 278,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,543.84 : 427,013.28 = 202,176.72 : x
  2. Step 2: Convert to fraction form
    309,543.84/427,013.28 = 202,176.72/x
  3. Step 3: Cross multiply
    309,543.84x = 427,013.28 × 202,176.72
  4. Step 4: Simplify right side
    309,543.84x = 86,332,144,346.84
  5. Step 5: Solve for x
    x = 86,332,144,346.84/309,543.84
  6. Step 6: Final answer
    x = 278,901.19

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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.