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Finding the Fourth Proportional to 310,973.13, 465,893.80 and 216,002.66

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Solution

The fourth proportional to 310,973.13, 465,893.80 and 216,002.66 is: 323,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,973.13 : 465,893.80 = 216,002.66 : x
  2. Step 2: Convert to fraction form
    310,973.13/465,893.80 = 216,002.66/x
  3. Step 3: Cross multiply
    310,973.13x = 465,893.80 × 216,002.66
  4. Step 4: Simplify right side
    310,973.13x = 100,634,297,208.03
  5. Step 5: Solve for x
    x = 100,634,297,208.03/310,973.13
  6. Step 6: Final answer
    x = 323,610.91

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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.