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Finding the Fourth Proportional to 563,334.40, 845,129.60 and 189,395.20

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Solution

The fourth proportional to 563,334.40, 845,129.60 and 189,395.20 is: 284,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,334.40 : 845,129.60 = 189,395.20 : x
  2. Step 2: Convert to fraction form
    563,334.40/845,129.60 = 189,395.20/x
  3. Step 3: Cross multiply
    563,334.40x = 845,129.60 × 189,395.20
  4. Step 4: Simplify right side
    563,334.40x = 160,063,489,617.92
  5. Step 5: Solve for x
    x = 160,063,489,617.92/563,334.40
  6. Step 6: Final answer
    x = 284,135.83

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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.