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Finding the Fourth Proportional to 256,494.77, 384,649.88 and 87,971.38

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Solution

The fourth proportional to 256,494.77, 384,649.88 and 87,971.38 is: 131,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,494.77 : 384,649.88 = 87,971.38 : x
  2. Step 2: Convert to fraction form
    256,494.77/384,649.88 = 87,971.38/x
  3. Step 3: Cross multiply
    256,494.77x = 384,649.88 × 87,971.38
  4. Step 4: Simplify right side
    256,494.77x = 33,838,182,017.45
  5. Step 5: Solve for x
    x = 33,838,182,017.45/256,494.77
  6. Step 6: Final answer
    x = 131,925.43

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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.