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Finding the Fourth Proportional to 256,109.40, 353,266.02 and 155,507.40

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Solution

The fourth proportional to 256,109.40, 353,266.02 and 155,507.40 is: 214,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,109.40 : 353,266.02 = 155,507.40 : x
  2. Step 2: Convert to fraction form
    256,109.40/353,266.02 = 155,507.40/x
  3. Step 3: Cross multiply
    256,109.40x = 353,266.02 × 155,507.40
  4. Step 4: Simplify right side
    256,109.40x = 54,935,480,278.55
  5. Step 5: Solve for x
    x = 54,935,480,278.55/256,109.40
  6. Step 6: Final answer
    x = 214,500.05

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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.