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Finding the Fourth Proportional to 229,130.40, 343,695.60 and 205,024.80

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Solution

The fourth proportional to 229,130.40, 343,695.60 and 205,024.80 is: 307,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,130.40 : 343,695.60 = 205,024.80 : x
  2. Step 2: Convert to fraction form
    229,130.40/343,695.60 = 205,024.80/x
  3. Step 3: Cross multiply
    229,130.40x = 343,695.60 × 205,024.80
  4. Step 4: Simplify right side
    229,130.40x = 70,466,121,650.88
  5. Step 5: Solve for x
    x = 70,466,121,650.88/229,130.40
  6. Step 6: Final answer
    x = 307,537.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.