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Finding the Fourth Proportional to 469,209.47, 647,418.89 and 297,006.30

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Solution

The fourth proportional to 469,209.47, 647,418.89 and 297,006.30 is: 409,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,209.47 : 647,418.89 = 297,006.30 : x
  2. Step 2: Convert to fraction form
    469,209.47/647,418.89 = 297,006.30/x
  3. Step 3: Cross multiply
    469,209.47x = 647,418.89 × 297,006.30
  4. Step 4: Simplify right side
    469,209.47x = 192,287,489,811.52
  5. Step 5: Solve for x
    x = 192,287,489,811.52/469,209.47
  6. Step 6: Final answer
    x = 409,811.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.