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Finding the Fourth Proportional to 309,454.51, 464,131.94 and 84,762.39

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Solution

The fourth proportional to 309,454.51, 464,131.94 and 84,762.39 is: 127,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,454.51 : 464,131.94 = 84,762.39 : x
  2. Step 2: Convert to fraction form
    309,454.51/464,131.94 = 84,762.39/x
  3. Step 3: Cross multiply
    309,454.51x = 464,131.94 × 84,762.39
  4. Step 4: Simplify right side
    309,454.51x = 39,340,932,509.74
  5. Step 5: Solve for x
    x = 39,340,932,509.74/309,454.51
  6. Step 6: Final answer
    x = 127,129.94

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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.