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Finding the Fourth Proportional to 389,568.65, 584,386.29 and 136,827.14

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Solution

The fourth proportional to 389,568.65, 584,386.29 and 136,827.14 is: 205,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,568.65 : 584,386.29 = 136,827.14 : x
  2. Step 2: Convert to fraction form
    389,568.65/584,386.29 = 136,827.14/x
  3. Step 3: Cross multiply
    389,568.65x = 584,386.29 × 136,827.14
  4. Step 4: Simplify right side
    389,568.65x = 79,959,901,793.98
  5. Step 5: Solve for x
    x = 79,959,901,793.98/389,568.65
  6. Step 6: Final answer
    x = 205,252.41

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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.