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Finding the Fourth Proportional to 256,065.90, 384,148.28 and 98,282.05

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Solution

The fourth proportional to 256,065.90, 384,148.28 and 98,282.05 is: 147,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,065.90 : 384,148.28 = 98,282.05 : x
  2. Step 2: Convert to fraction form
    256,065.90/384,148.28 = 98,282.05/x
  3. Step 3: Cross multiply
    256,065.90x = 384,148.28 × 98,282.05
  4. Step 4: Simplify right side
    256,065.90x = 37,754,880,462.37
  5. Step 5: Solve for x
    x = 37,754,880,462.37/256,065.90
  6. Step 6: Final answer
    x = 147,442.05

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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.