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Finding the Fourth Proportional to 378,294.04, 522,041.53 and 206,208.24

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Solution

The fourth proportional to 378,294.04, 522,041.53 and 206,208.24 is: 284,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,294.04 : 522,041.53 = 206,208.24 : x
  2. Step 2: Convert to fraction form
    378,294.04/522,041.53 = 206,208.24/x
  3. Step 3: Cross multiply
    378,294.04x = 522,041.53 × 206,208.24
  4. Step 4: Simplify right side
    378,294.04x = 107,649,262,635.03
  5. Step 5: Solve for x
    x = 107,649,262,635.03/378,294.04
  6. Step 6: Final answer
    x = 284,565.05

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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.