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Finding the Fourth Proportional to 256,018.95, 383,909.57 and 149,433.68

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Solution

The fourth proportional to 256,018.95, 383,909.57 and 149,433.68 is: 224,081.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,018.95 : 383,909.57 = 149,433.68 : x
  2. Step 2: Convert to fraction form
    256,018.95/383,909.57 = 149,433.68/x
  3. Step 3: Cross multiply
    256,018.95x = 383,909.57 × 149,433.68
  4. Step 4: Simplify right side
    256,018.95x = 57,369,019,832.32
  5. Step 5: Solve for x
    x = 57,369,019,832.32/256,018.95
  6. Step 6: Final answer
    x = 224,081.15

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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.