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Finding the Fourth Proportional to 310,160.34, 428,061.51 and 189,317.66

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Solution

The fourth proportional to 310,160.34, 428,061.51 and 189,317.66 is: 261,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,160.34 : 428,061.51 = 189,317.66 : x
  2. Step 2: Convert to fraction form
    310,160.34/428,061.51 = 189,317.66/x
  3. Step 3: Cross multiply
    310,160.34x = 428,061.51 × 189,317.66
  4. Step 4: Simplify right side
    310,160.34x = 81,039,601,268.96
  5. Step 5: Solve for x
    x = 81,039,601,268.96/310,160.34
  6. Step 6: Final answer
    x = 261,282.93

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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.