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Finding the Fourth Proportional to 256,176.30, 384,264.45 and 123,024.45

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Solution

The fourth proportional to 256,176.30, 384,264.45 and 123,024.45 is: 184,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,176.30 : 384,264.45 = 123,024.45 : x
  2. Step 2: Convert to fraction form
    256,176.30/384,264.45 = 123,024.45/x
  3. Step 3: Cross multiply
    256,176.30x = 384,264.45 × 123,024.45
  4. Step 4: Simplify right side
    256,176.30x = 47,273,922,615.80
  5. Step 5: Solve for x
    x = 47,273,922,615.80/256,176.30
  6. Step 6: Final answer
    x = 184,536.68

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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.