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Finding the Fourth Proportional to 486,521.80, 727,814.40 and 427,472.80

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Solution

The fourth proportional to 486,521.80, 727,814.40 and 427,472.80 is: 639,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,521.80 : 727,814.40 = 427,472.80 : x
  2. Step 2: Convert to fraction form
    486,521.80/727,814.40 = 427,472.80/x
  3. Step 3: Cross multiply
    486,521.80x = 727,814.40 × 427,472.80
  4. Step 4: Simplify right side
    486,521.80x = 311,120,859,448.32
  5. Step 5: Solve for x
    x = 311,120,859,448.32/486,521.80
  6. Step 6: Final answer
    x = 639,479.79

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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.