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Finding the Fourth Proportional to 647,909.19, 971,856.77 and 221,440.95

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Solution

The fourth proportional to 647,909.19, 971,856.77 and 221,440.95 is: 332,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,909.19 : 971,856.77 = 221,440.95 : x
  2. Step 2: Convert to fraction form
    647,909.19/971,856.77 = 221,440.95/x
  3. Step 3: Cross multiply
    647,909.19x = 971,856.77 × 221,440.95
  4. Step 4: Simplify right side
    647,909.19x = 215,208,885,305.53
  5. Step 5: Solve for x
    x = 215,208,885,305.53/647,909.19
  6. Step 6: Final answer
    x = 332,159.03

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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.