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Finding the Fourth Proportional to 613,538.78, 920,350.21 and 208,566.19

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Solution

The fourth proportional to 613,538.78, 920,350.21 and 208,566.19 is: 312,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,538.78 : 920,350.21 = 208,566.19 : x
  2. Step 2: Convert to fraction form
    613,538.78/920,350.21 = 208,566.19/x
  3. Step 3: Cross multiply
    613,538.78x = 920,350.21 × 208,566.19
  4. Step 4: Simplify right side
    613,538.78x = 191,953,933,943.11
  5. Step 5: Solve for x
    x = 191,953,933,943.11/613,538.78
  6. Step 6: Final answer
    x = 312,863.57

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1.5x scale

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.