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Finding the Fourth Proportional to 585,218.40, 807,651.12 and 330,616.32

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Solution

The fourth proportional to 585,218.40, 807,651.12 and 330,616.32 is: 456,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,218.40 : 807,651.12 = 330,616.32 : x
  2. Step 2: Convert to fraction form
    585,218.40/807,651.12 = 330,616.32/x
  3. Step 3: Cross multiply
    585,218.40x = 807,651.12 × 330,616.32
  4. Step 4: Simplify right side
    585,218.40x = 267,022,641,138.28
  5. Step 5: Solve for x
    x = 267,022,641,138.28/585,218.40
  6. Step 6: Final answer
    x = 456,278.62

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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.