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Finding the Fourth Proportional to 516,520.80, 712,682.01 and 312,566.58

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Solution

The fourth proportional to 516,520.80, 712,682.01 and 312,566.58 is: 431,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,520.80 : 712,682.01 = 312,566.58 : x
  2. Step 2: Convert to fraction form
    516,520.80/712,682.01 = 312,566.58/x
  3. Step 3: Cross multiply
    516,520.80x = 712,682.01 × 312,566.58
  4. Step 4: Simplify right side
    516,520.80x = 222,760,578,493.23
  5. Step 5: Solve for x
    x = 222,760,578,493.23/516,520.80
  6. Step 6: Final answer
    x = 431,271.26

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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.