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Finding the Fourth Proportional to 256,411.30, 383,742.15 and 256,411.30

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Solution

The fourth proportional to 256,411.30, 383,742.15 and 256,411.30 is: 383,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,411.30 : 383,742.15 = 256,411.30 : x
  2. Step 2: Convert to fraction form
    256,411.30/383,742.15 = 256,411.30/x
  3. Step 3: Cross multiply
    256,411.30x = 383,742.15 × 256,411.30
  4. Step 4: Simplify right side
    256,411.30x = 98,395,823,546.30
  5. Step 5: Solve for x
    x = 98,395,823,546.30/256,411.30
  6. Step 6: Final answer
    x = 383,742.15

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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.