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Finding the Fourth Proportional to 309,400.52, 464,101.20 and 84,762.90

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Solution

The fourth proportional to 309,400.52, 464,101.20 and 84,762.90 is: 127,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,400.52 : 464,101.20 = 84,762.90 : x
  2. Step 2: Convert to fraction form
    309,400.52/464,101.20 = 84,762.90/x
  3. Step 3: Cross multiply
    309,400.52x = 464,101.20 × 84,762.90
  4. Step 4: Simplify right side
    309,400.52x = 39,338,563,605.48
  5. Step 5: Solve for x
    x = 39,338,563,605.48/309,400.52
  6. Step 6: Final answer
    x = 127,144.47

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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.