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Finding the Fourth Proportional to 310,399.88, 465,776.71 and 120,835.69

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Solution

The fourth proportional to 310,399.88, 465,776.71 and 120,835.69 is: 181,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,399.88 : 465,776.71 = 120,835.69 : x
  2. Step 2: Convert to fraction form
    310,399.88/465,776.71 = 120,835.69/x
  3. Step 3: Cross multiply
    310,399.88x = 465,776.71 × 120,835.69
  4. Step 4: Simplify right side
    310,399.88x = 56,282,448,672.25
  5. Step 5: Solve for x
    x = 56,282,448,672.25/310,399.88
  6. Step 6: Final answer
    x = 181,322.39

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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.