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Finding the Fourth Proportional to 647,884.80, 971,389.80 and 344,329.20

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Solution

The fourth proportional to 647,884.80, 971,389.80 and 344,329.20 is: 516,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,884.80 : 971,389.80 = 344,329.20 : x
  2. Step 2: Convert to fraction form
    647,884.80/971,389.80 = 344,329.20/x
  3. Step 3: Cross multiply
    647,884.80x = 971,389.80 × 344,329.20
  4. Step 4: Simplify right side
    647,884.80x = 334,477,872,722.16
  5. Step 5: Solve for x
    x = 334,477,872,722.16/647,884.80
  6. Step 6: Final answer
    x = 516,261.34

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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.