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Finding the Fourth Proportional to 390,054.36, 585,081.54 and 137,275.32

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Solution

The fourth proportional to 390,054.36, 585,081.54 and 137,275.32 is: 205,912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,054.36 : 585,081.54 = 137,275.32 : x
  2. Step 2: Convert to fraction form
    390,054.36/585,081.54 = 137,275.32/x
  3. Step 3: Cross multiply
    390,054.36x = 585,081.54 × 137,275.32
  4. Step 4: Simplify right side
    390,054.36x = 80,317,255,629.59
  5. Step 5: Solve for x
    x = 80,317,255,629.59/390,054.36
  6. Step 6: Final answer
    x = 205,912.98

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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.