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Finding the Fourth Proportional to 378,647.55, 522,525.20 and 208,881.63

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Solution

The fourth proportional to 378,647.55, 522,525.20 and 208,881.63 is: 288,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,647.55 : 522,525.20 = 208,881.63 : x
  2. Step 2: Convert to fraction form
    378,647.55/522,525.20 = 208,881.63/x
  3. Step 3: Cross multiply
    378,647.55x = 522,525.20 × 208,881.63
  4. Step 4: Simplify right side
    378,647.55x = 109,145,913,401.65
  5. Step 5: Solve for x
    x = 109,145,913,401.65/378,647.55
  6. Step 6: Final answer
    x = 288,252.00

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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.