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Finding the Fourth Proportional to 390,050.64, 585,148.32 and 123,739.20

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Solution

The fourth proportional to 390,050.64, 585,148.32 and 123,739.20 is: 185,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,050.64 : 585,148.32 = 123,739.20 : x
  2. Step 2: Convert to fraction form
    390,050.64/585,148.32 = 123,739.20/x
  3. Step 3: Cross multiply
    390,050.64x = 585,148.32 × 123,739.20
  4. Step 4: Simplify right side
    390,050.64x = 72,405,784,998.14
  5. Step 5: Solve for x
    x = 72,405,784,998.14/390,050.64
  6. Step 6: Final answer
    x = 185,631.76

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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.