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Finding the Fourth Proportional to 256,470.03, 353,921.40 and 143,292.78

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Solution

The fourth proportional to 256,470.03, 353,921.40 and 143,292.78 is: 197,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,470.03 : 353,921.40 = 143,292.78 : x
  2. Step 2: Convert to fraction form
    256,470.03/353,921.40 = 143,292.78/x
  3. Step 3: Cross multiply
    256,470.03x = 353,921.40 × 143,292.78
  4. Step 4: Simplify right side
    256,470.03x = 50,714,381,307.49
  5. Step 5: Solve for x
    x = 50,714,381,307.49/256,470.03
  6. Step 6: Final answer
    x = 197,739.99

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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.