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Finding the Fourth Proportional to 398,409.75, 549,805.47 and 219,561.75

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Solution

The fourth proportional to 398,409.75, 549,805.47 and 219,561.75 is: 302,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,409.75 : 549,805.47 = 219,561.75 : x
  2. Step 2: Convert to fraction form
    398,409.75/549,805.47 = 219,561.75/x
  3. Step 3: Cross multiply
    398,409.75x = 549,805.47 × 219,561.75
  4. Step 4: Simplify right side
    398,409.75x = 120,716,251,152.77
  5. Step 5: Solve for x
    x = 120,716,251,152.77/398,409.75
  6. Step 6: Final answer
    x = 302,995.22

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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.