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Finding the Fourth Proportional to 256,064.90, 384,146.78 and 98,281.05

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Solution

The fourth proportional to 256,064.90, 384,146.78 and 98,281.05 is: 147,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.90 : 384,146.78 = 98,281.05 : x
  2. Step 2: Convert to fraction form
    256,064.90/384,146.78 = 98,281.05/x
  3. Step 3: Cross multiply
    256,064.90x = 384,146.78 × 98,281.05
  4. Step 4: Simplify right side
    256,064.90x = 37,754,347,236.98
  5. Step 5: Solve for x
    x = 37,754,347,236.98/256,064.90
  6. Step 6: Final answer
    x = 147,440.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.