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Finding the Fourth Proportional to 353,825.98, 488,626.88 and 302,542.64

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Solution

The fourth proportional to 353,825.98, 488,626.88 and 302,542.64 is: 417,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,825.98 : 488,626.88 = 302,542.64 : x
  2. Step 2: Convert to fraction form
    353,825.98/488,626.88 = 302,542.64/x
  3. Step 3: Cross multiply
    353,825.98x = 488,626.88 × 302,542.64
  4. Step 4: Simplify right side
    353,825.98x = 147,830,466,250.16
  5. Step 5: Solve for x
    x = 147,830,466,250.16/353,825.98
  6. Step 6: Final answer
    x = 417,805.57

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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.