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Finding the Fourth Proportional to 256,740.33, 354,274.40 and 142,000.74

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Solution

The fourth proportional to 256,740.33, 354,274.40 and 142,000.74 is: 195,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,740.33 : 354,274.40 = 142,000.74 : x
  2. Step 2: Convert to fraction form
    256,740.33/354,274.40 = 142,000.74/x
  3. Step 3: Cross multiply
    256,740.33x = 354,274.40 × 142,000.74
  4. Step 4: Simplify right side
    256,740.33x = 50,307,226,253.05
  5. Step 5: Solve for x
    x = 50,307,226,253.05/256,740.33
  6. Step 6: Final answer
    x = 195,945.94

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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.