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Finding the Fourth Proportional to 389,405.56, 583,857.24 and 152,772.16

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Solution

The fourth proportional to 389,405.56, 583,857.24 and 152,772.16 is: 229,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,405.56 : 583,857.24 = 152,772.16 : x
  2. Step 2: Convert to fraction form
    389,405.56/583,857.24 = 152,772.16/x
  3. Step 3: Cross multiply
    389,405.56x = 583,857.24 × 152,772.16
  4. Step 4: Simplify right side
    389,405.56x = 89,197,131,686.44
  5. Step 5: Solve for x
    x = 89,197,131,686.44/389,405.56
  6. Step 6: Final answer
    x = 229,059.73

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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.