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Finding the Fourth Proportional to 256,401.40, 384,486.90 and 98,577.40

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Solution

The fourth proportional to 256,401.40, 384,486.90 and 98,577.40 is: 147,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,401.40 : 384,486.90 = 98,577.40 : x
  2. Step 2: Convert to fraction form
    256,401.40/384,486.90 = 98,577.40/x
  3. Step 3: Cross multiply
    256,401.40x = 384,486.90 × 98,577.40
  4. Step 4: Simplify right side
    256,401.40x = 37,901,718,936.06
  5. Step 5: Solve for x
    x = 37,901,718,936.06/256,401.40
  6. Step 6: Final answer
    x = 147,821.81

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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.