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Finding the Fourth Proportional to 647,708.16, 971,405.44 and 332,002.56

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Solution

The fourth proportional to 647,708.16, 971,405.44 and 332,002.56 is: 497,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,708.16 : 971,405.44 = 332,002.56 : x
  2. Step 2: Convert to fraction form
    647,708.16/971,405.44 = 332,002.56/x
  3. Step 3: Cross multiply
    647,708.16x = 971,405.44 × 332,002.56
  4. Step 4: Simplify right side
    647,708.16x = 322,509,092,877.93
  5. Step 5: Solve for x
    x = 322,509,092,877.93/647,708.16
  6. Step 6: Final answer
    x = 497,923.47

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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.