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Finding the Fourth Proportional to 620,726.40, 929,534.40 and 409,219.20

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Solution

The fourth proportional to 620,726.40, 929,534.40 and 409,219.20 is: 612,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,726.40 : 929,534.40 = 409,219.20 : x
  2. Step 2: Convert to fraction form
    620,726.40/929,534.40 = 409,219.20/x
  3. Step 3: Cross multiply
    620,726.40x = 929,534.40 × 409,219.20
  4. Step 4: Simplify right side
    620,726.40x = 380,383,323,540.48
  5. Step 5: Solve for x
    x = 380,383,323,540.48/620,726.40
  6. Step 6: Final answer
    x = 612,803.52

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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.