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Finding the Fourth Proportional to 647,561.56, 971,267.61 and 174,209.71

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Solution

The fourth proportional to 647,561.56, 971,267.61 and 174,209.71 is: 261,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,561.56 : 971,267.61 = 174,209.71 : x
  2. Step 2: Convert to fraction form
    647,561.56/971,267.61 = 174,209.71/x
  3. Step 3: Cross multiply
    647,561.56x = 971,267.61 × 174,209.71
  4. Step 4: Simplify right side
    647,561.56x = 169,204,248,670.49
  5. Step 5: Solve for x
    x = 169,204,248,670.49/647,561.56
  6. Step 6: Final answer
    x = 261,294.46

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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.