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Finding the Fourth Proportional to 256,978.80, 385,784.10 and 162,208.80

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Solution

The fourth proportional to 256,978.80, 385,784.10 and 162,208.80 is: 243,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,978.80 : 385,784.10 = 162,208.80 : x
  2. Step 2: Convert to fraction form
    256,978.80/385,784.10 = 162,208.80/x
  3. Step 3: Cross multiply
    256,978.80x = 385,784.10 × 162,208.80
  4. Step 4: Simplify right side
    256,978.80x = 62,577,575,920.08
  5. Step 5: Solve for x
    x = 62,577,575,920.08/256,978.80
  6. Step 6: Final answer
    x = 243,512.60

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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.