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Finding the Fourth Proportional to 310,249.74, 465,398.19 and 120,628.64

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Solution

The fourth proportional to 310,249.74, 465,398.19 and 120,628.64 is: 180,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,249.74 : 465,398.19 = 120,628.64 : x
  2. Step 2: Convert to fraction form
    310,249.74/465,398.19 = 120,628.64/x
  3. Step 3: Cross multiply
    310,249.74x = 465,398.19 × 120,628.64
  4. Step 4: Simplify right side
    310,249.74x = 56,140,351,881.66
  5. Step 5: Solve for x
    x = 56,140,351,881.66/310,249.74
  6. Step 6: Final answer
    x = 180,952.13

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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.