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Finding the Fourth Proportional to 647,429.04, 971,172.72 and 469,086.48

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Solution

The fourth proportional to 647,429.04, 971,172.72 and 469,086.48 is: 703,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,429.04 : 971,172.72 = 469,086.48 : x
  2. Step 2: Convert to fraction form
    647,429.04/971,172.72 = 469,086.48/x
  3. Step 3: Cross multiply
    647,429.04x = 971,172.72 × 469,086.48
  4. Step 4: Simplify right side
    647,429.04x = 455,563,992,696.83
  5. Step 5: Solve for x
    x = 455,563,992,696.83/647,429.04
  6. Step 6: Final answer
    x = 703,650.85

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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.