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Finding the Fourth Proportional to 711,381.08, 981,737.34 and 409,672.28

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Solution

The fourth proportional to 711,381.08, 981,737.34 and 409,672.28 is: 565,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,381.08 : 981,737.34 = 409,672.28 : x
  2. Step 2: Convert to fraction form
    711,381.08/981,737.34 = 409,672.28/x
  3. Step 3: Cross multiply
    711,381.08x = 981,737.34 × 409,672.28
  4. Step 4: Simplify right side
    711,381.08x = 402,190,574,438.94
  5. Step 5: Solve for x
    x = 402,190,574,438.94/711,381.08
  6. Step 6: Final answer
    x = 565,365.86

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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.