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Finding the Fourth Proportional to 390,516.42, 585,550.38 and 153,729.90

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Solution

The fourth proportional to 390,516.42, 585,550.38 and 153,729.90 is: 230,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,516.42 : 585,550.38 = 153,729.90 : x
  2. Step 2: Convert to fraction form
    390,516.42/585,550.38 = 153,729.90/x
  3. Step 3: Cross multiply
    390,516.42x = 585,550.38 × 153,729.90
  4. Step 4: Simplify right side
    390,516.42x = 90,016,601,362.36
  5. Step 5: Solve for x
    x = 90,016,601,362.36/390,516.42
  6. Step 6: Final answer
    x = 230,506.57

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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.