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Finding the Fourth Proportional to 647,449.61, 971,454.16 and 347,580.01

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Solution

The fourth proportional to 647,449.61, 971,454.16 and 347,580.01 is: 521,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,449.61 : 971,454.16 = 347,580.01 : x
  2. Step 2: Convert to fraction form
    647,449.61/971,454.16 = 347,580.01/x
  3. Step 3: Cross multiply
    647,449.61x = 971,454.16 × 347,580.01
  4. Step 4: Simplify right side
    647,449.61x = 337,658,048,296.13
  5. Step 5: Solve for x
    x = 337,658,048,296.13/647,449.61
  6. Step 6: Final answer
    x = 521,520.20

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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.