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Finding the Fourth Proportional to 256,572.10, 354,070.02 and 143,394.82

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Solution

The fourth proportional to 256,572.10, 354,070.02 and 143,394.82 is: 197,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,572.10 : 354,070.02 = 143,394.82 : x
  2. Step 2: Convert to fraction form
    256,572.10/354,070.02 = 143,394.82/x
  3. Step 3: Cross multiply
    256,572.10x = 354,070.02 × 143,394.82
  4. Step 4: Simplify right side
    256,572.10x = 50,771,806,785.30
  5. Step 5: Solve for x
    x = 50,771,806,785.30/256,572.10
  6. Step 6: Final answer
    x = 197,885.14

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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.