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Finding the Fourth Proportional to 647,665.60, 971,206.80 and 292,496.80

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Solution

The fourth proportional to 647,665.60, 971,206.80 and 292,496.80 is: 438,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,665.60 : 971,206.80 = 292,496.80 : x
  2. Step 2: Convert to fraction form
    647,665.60/971,206.80 = 292,496.80/x
  3. Step 3: Cross multiply
    647,665.60x = 971,206.80 × 292,496.80
  4. Step 4: Simplify right side
    647,665.60x = 284,074,881,138.24
  5. Step 5: Solve for x
    x = 284,074,881,138.24/647,665.60
  6. Step 6: Final answer
    x = 438,613.51

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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.