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Finding the Fourth Proportional to 256,280.90, 353,671.45 and 148,851

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Solution

The fourth proportional to 256,280.90, 353,671.45 and 148,851 is: 205,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,280.90 : 353,671.45 = 148,851 : x
  2. Step 2: Convert to fraction form
    256,280.90/353,671.45 = 148,851/x
  3. Step 3: Cross multiply
    256,280.90x = 353,671.45 × 148,851
  4. Step 4: Simplify right side
    256,280.90x = 52,644,348,631.82
  5. Step 5: Solve for x
    x = 52,644,348,631.82/256,280.90
  6. Step 6: Final answer
    x = 205,416.59

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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.