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Finding the Fourth Proportional to 256,104.40, 353,259.12 and 155,502.40

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Solution

The fourth proportional to 256,104.40, 353,259.12 and 155,502.40 is: 214,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,104.40 : 353,259.12 = 155,502.40 : x
  2. Step 2: Convert to fraction form
    256,104.40/353,259.12 = 155,502.40/x
  3. Step 3: Cross multiply
    256,104.40x = 353,259.12 × 155,502.40
  4. Step 4: Simplify right side
    256,104.40x = 54,932,640,981.89
  5. Step 5: Solve for x
    x = 54,932,640,981.89/256,104.40
  6. Step 6: Final answer
    x = 214,493.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.