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Finding the Fourth Proportional to 351,452.16, 484,984.80 and 208,225.44

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Solution

The fourth proportional to 351,452.16, 484,984.80 and 208,225.44 is: 287,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,452.16 : 484,984.80 = 208,225.44 : x
  2. Step 2: Convert to fraction form
    351,452.16/484,984.80 = 208,225.44/x
  3. Step 3: Cross multiply
    351,452.16x = 484,984.80 × 208,225.44
  4. Step 4: Simplify right side
    351,452.16x = 100,986,173,373.31
  5. Step 5: Solve for x
    x = 100,986,173,373.31/351,452.16
  6. Step 6: Final answer
    x = 287,339.74

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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.