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Finding the Fourth Proportional to 293,086.60, 439,629.90 and 145,323.40

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Solution

The fourth proportional to 293,086.60, 439,629.90 and 145,323.40 is: 217,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,086.60 : 439,629.90 = 145,323.40 : x
  2. Step 2: Convert to fraction form
    293,086.60/439,629.90 = 145,323.40/x
  3. Step 3: Cross multiply
    293,086.60x = 439,629.90 × 145,323.40
  4. Step 4: Simplify right side
    293,086.60x = 63,888,511,809.66
  5. Step 5: Solve for x
    x = 63,888,511,809.66/293,086.60
  6. Step 6: Final answer
    x = 217,985.10

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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.