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Finding the Fourth Proportional to 390,211.58, 585,317.62 and 109,728.84

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Solution

The fourth proportional to 390,211.58, 585,317.62 and 109,728.84 is: 164,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,211.58 : 585,317.62 = 109,728.84 : x
  2. Step 2: Convert to fraction form
    390,211.58/585,317.62 = 109,728.84/x
  3. Step 3: Cross multiply
    390,211.58x = 585,317.62 × 109,728.84
  4. Step 4: Simplify right side
    390,211.58x = 64,226,223,474.16
  5. Step 5: Solve for x
    x = 64,226,223,474.16/390,211.58
  6. Step 6: Final answer
    x = 164,593.33

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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.