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Finding the Fourth Proportional to 310,237.84, 428,174.50 and 189,449.16

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Solution

The fourth proportional to 310,237.84, 428,174.50 and 189,449.16 is: 261,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,237.84 : 428,174.50 = 189,449.16 : x
  2. Step 2: Convert to fraction form
    310,237.84/428,174.50 = 189,449.16/x
  3. Step 3: Cross multiply
    310,237.84x = 428,174.50 × 189,449.16
  4. Step 4: Simplify right side
    310,237.84x = 81,117,299,358.42
  5. Step 5: Solve for x
    x = 81,117,299,358.42/310,237.84
  6. Step 6: Final answer
    x = 261,468.10

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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.