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Finding the Fourth Proportional to 389,706.19, 584,576.29 and 123,486.32

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Solution

The fourth proportional to 389,706.19, 584,576.29 and 123,486.32 is: 185,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,706.19 : 584,576.29 = 123,486.32 : x
  2. Step 2: Convert to fraction form
    389,706.19/584,576.29 = 123,486.32/x
  3. Step 3: Cross multiply
    389,706.19x = 584,576.29 × 123,486.32
  4. Step 4: Simplify right side
    389,706.19x = 72,187,176,427.15
  5. Step 5: Solve for x
    x = 72,187,176,427.15/389,706.19
  6. Step 6: Final answer
    x = 185,234.87

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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.