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Finding the Fourth Proportional to 389,605.74, 584,441.85 and 136,864.14

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Solution

The fourth proportional to 389,605.74, 584,441.85 and 136,864.14 is: 205,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,605.74 : 584,441.85 = 136,864.14 : x
  2. Step 2: Convert to fraction form
    389,605.74/584,441.85 = 136,864.14/x
  3. Step 3: Cross multiply
    389,605.74x = 584,441.85 × 136,864.14
  4. Step 4: Simplify right side
    389,605.74x = 79,989,131,180.26
  5. Step 5: Solve for x
    x = 79,989,131,180.26/389,605.74
  6. Step 6: Final answer
    x = 205,307.89

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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.