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Finding the Fourth Proportional to 310,972.88, 465,893.44 and 216,002.40

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Solution

The fourth proportional to 310,972.88, 465,893.44 and 216,002.40 is: 323,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,972.88 : 465,893.44 = 216,002.40 : x
  2. Step 2: Convert to fraction form
    310,972.88/465,893.44 = 216,002.40/x
  3. Step 3: Cross multiply
    310,972.88x = 465,893.44 × 216,002.40
  4. Step 4: Simplify right side
    310,972.88x = 100,634,101,184.26
  5. Step 5: Solve for x
    x = 100,634,101,184.26/310,972.88
  6. Step 6: Final answer
    x = 323,610.54

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1.5x scale

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.