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Finding the Fourth Proportional to 385,206.86, 531,600 and 210,788.79

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Solution

The fourth proportional to 385,206.86, 531,600 and 210,788.79 is: 290,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,206.86 : 531,600 = 210,788.79 : x
  2. Step 2: Convert to fraction form
    385,206.86/531,600 = 210,788.79/x
  3. Step 3: Cross multiply
    385,206.86x = 531,600 × 210,788.79
  4. Step 4: Simplify right side
    385,206.86x = 112,055,320,764
  5. Step 5: Solve for x
    x = 112,055,320,764/385,206.86
  6. Step 6: Final answer
    x = 290,896.49

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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.