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Finding the Fourth Proportional to 310,219.80, 465,410.70 and 99,862.80

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Solution

The fourth proportional to 310,219.80, 465,410.70 and 99,862.80 is: 149,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,219.80 : 465,410.70 = 99,862.80 : x
  2. Step 2: Convert to fraction form
    310,219.80/465,410.70 = 99,862.80/x
  3. Step 3: Cross multiply
    310,219.80x = 465,410.70 × 99,862.80
  4. Step 4: Simplify right side
    310,219.80x = 46,477,215,651.96
  5. Step 5: Solve for x
    x = 46,477,215,651.96/310,219.80
  6. Step 6: Final answer
    x = 149,820.27

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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.