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Finding the Fourth Proportional to 647,426.54, 971,168.97 and 469,083.98

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Solution

The fourth proportional to 647,426.54, 971,168.97 and 469,083.98 is: 703,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,426.54 : 971,168.97 = 469,083.98 : x
  2. Step 2: Convert to fraction form
    647,426.54/971,168.97 = 469,083.98/x
  3. Step 3: Cross multiply
    647,426.54x = 971,168.97 × 469,083.98
  4. Step 4: Simplify right side
    647,426.54x = 455,559,805,700.10
  5. Step 5: Solve for x
    x = 455,559,805,700.10/647,426.54
  6. Step 6: Final answer
    x = 703,647.10

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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.