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Finding the Fourth Proportional to 310,234.47, 428,169.85 and 189,445.77

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Solution

The fourth proportional to 310,234.47, 428,169.85 and 189,445.77 is: 261,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,234.47 : 428,169.85 = 189,445.77 : x
  2. Step 2: Convert to fraction form
    310,234.47/428,169.85 = 189,445.77/x
  3. Step 3: Cross multiply
    310,234.47x = 428,169.85 × 189,445.77
  4. Step 4: Simplify right side
    310,234.47x = 81,114,966,924.03
  5. Step 5: Solve for x
    x = 81,114,966,924.03/310,234.47
  6. Step 6: Final answer
    x = 261,463.42

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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.