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Finding the Fourth Proportional to 383,862.40, 575,577.60 and 147,212.80

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Solution

The fourth proportional to 383,862.40, 575,577.60 and 147,212.80 is: 220,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,862.40 : 575,577.60 = 147,212.80 : x
  2. Step 2: Convert to fraction form
    383,862.40/575,577.60 = 147,212.80/x
  3. Step 3: Cross multiply
    383,862.40x = 575,577.60 × 147,212.80
  4. Step 4: Simplify right side
    383,862.40x = 84,732,390,113.28
  5. Step 5: Solve for x
    x = 84,732,390,113.28/383,862.40
  6. Step 6: Final answer
    x = 220,736.36

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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.