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Finding the Fourth Proportional to 389,522.88, 584,288.64 and 136,792.80

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Solution

The fourth proportional to 389,522.88, 584,288.64 and 136,792.80 is: 205,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,522.88 : 584,288.64 = 136,792.80 : x
  2. Step 2: Convert to fraction form
    389,522.88/584,288.64 = 136,792.80/x
  3. Step 3: Cross multiply
    389,522.88x = 584,288.64 × 136,792.80
  4. Step 4: Simplify right side
    389,522.88x = 79,926,479,073.79
  5. Step 5: Solve for x
    x = 79,926,479,073.79/389,522.88
  6. Step 6: Final answer
    x = 205,190.72

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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.