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Finding the Fourth Proportional to 256,522.32, 354,000.24 and 143,345.07

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Solution

The fourth proportional to 256,522.32, 354,000.24 and 143,345.07 is: 197,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,522.32 : 354,000.24 = 143,345.07 : x
  2. Step 2: Convert to fraction form
    256,522.32/354,000.24 = 143,345.07/x
  3. Step 3: Cross multiply
    256,522.32x = 354,000.24 × 143,345.07
  4. Step 4: Simplify right side
    256,522.32x = 50,744,189,182.82
  5. Step 5: Solve for x
    x = 50,744,189,182.82/256,522.32
  6. Step 6: Final answer
    x = 197,815.88

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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.