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Finding the Fourth Proportional to 394,002.30, 590,830.65 and 157,266.30

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Solution

The fourth proportional to 394,002.30, 590,830.65 and 157,266.30 is: 235,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,002.30 : 590,830.65 = 157,266.30 : x
  2. Step 2: Convert to fraction form
    394,002.30/590,830.65 = 157,266.30/x
  3. Step 3: Cross multiply
    394,002.30x = 590,830.65 × 157,266.30
  4. Step 4: Simplify right side
    394,002.30x = 92,917,750,252.10
  5. Step 5: Solve for x
    x = 92,917,750,252.10/394,002.30
  6. Step 6: Final answer
    x = 235,830.48

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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.