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Finding the Fourth Proportional to 398,262.12, 549,232.56 and 290,661.72

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Solution

The fourth proportional to 398,262.12, 549,232.56 and 290,661.72 is: 400,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,262.12 : 549,232.56 = 290,661.72 : x
  2. Step 2: Convert to fraction form
    398,262.12/549,232.56 = 290,661.72/x
  3. Step 3: Cross multiply
    398,262.12x = 549,232.56 × 290,661.72
  4. Step 4: Simplify right side
    398,262.12x = 159,640,880,569.60
  5. Step 5: Solve for x
    x = 159,640,880,569.60/398,262.12
  6. Step 6: Final answer
    x = 400,843.75

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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.