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Finding the Fourth Proportional to 256,071.80, 384,107.70 and 165,870.20

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Solution

The fourth proportional to 256,071.80, 384,107.70 and 165,870.20 is: 248,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,071.80 : 384,107.70 = 165,870.20 : x
  2. Step 2: Convert to fraction form
    256,071.80/384,107.70 = 165,870.20/x
  3. Step 3: Cross multiply
    256,071.80x = 384,107.70 × 165,870.20
  4. Step 4: Simplify right side
    256,071.80x = 63,712,021,020.54
  5. Step 5: Solve for x
    x = 63,712,021,020.54/256,071.80
  6. Step 6: Final answer
    x = 248,805.30

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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.