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Finding the Fourth Proportional to 256,901.80, 385,419.90 and 99,135.40

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Solution

The fourth proportional to 256,901.80, 385,419.90 and 99,135.40 is: 148,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,901.80 : 385,419.90 = 99,135.40 : x
  2. Step 2: Convert to fraction form
    256,901.80/385,419.90 = 99,135.40/x
  3. Step 3: Cross multiply
    256,901.80x = 385,419.90 × 99,135.40
  4. Step 4: Simplify right side
    256,901.80x = 38,208,755,954.46
  5. Step 5: Solve for x
    x = 38,208,755,954.46/256,901.80
  6. Step 6: Final answer
    x = 148,729.03

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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.