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Finding the Fourth Proportional to 647,898.77, 971,848.26 and 332,154.29

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Solution

The fourth proportional to 647,898.77, 971,848.26 and 332,154.29 is: 498,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,898.77 : 971,848.26 = 332,154.29 : x
  2. Step 2: Convert to fraction form
    647,898.77/971,848.26 = 332,154.29/x
  3. Step 3: Cross multiply
    647,898.77x = 971,848.26 × 332,154.29
  4. Step 4: Simplify right side
    647,898.77x = 322,803,571,217.66
  5. Step 5: Solve for x
    x = 322,803,571,217.66/647,898.77
  6. Step 6: Final answer
    x = 498,231.49

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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.