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Finding the Fourth Proportional to 398,412, 549,792.53 and 217,120.07

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Solution

The fourth proportional to 398,412, 549,792.53 and 217,120.07 is: 299,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,412 : 549,792.53 = 217,120.07 : x
  2. Step 2: Convert to fraction form
    398,412/549,792.53 = 217,120.07/x
  3. Step 3: Cross multiply
    398,412x = 549,792.53 × 217,120.07
  4. Step 4: Simplify right side
    398,412x = 119,370,992,599.08
  5. Step 5: Solve for x
    x = 119,370,992,599.08/398,412
  6. Step 6: Final answer
    x = 299,616.96

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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.