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Finding the Fourth Proportional to 256,829.40, 385,244.10 and 151,594.20

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Solution

The fourth proportional to 256,829.40, 385,244.10 and 151,594.20 is: 227,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.40 : 385,244.10 = 151,594.20 : x
  2. Step 2: Convert to fraction form
    256,829.40/385,244.10 = 151,594.20/x
  3. Step 3: Cross multiply
    256,829.40x = 385,244.10 × 151,594.20
  4. Step 4: Simplify right side
    256,829.40x = 58,400,771,144.22
  5. Step 5: Solve for x
    x = 58,400,771,144.22/256,829.40
  6. Step 6: Final answer
    x = 227,391.30

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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.