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Finding the Fourth Proportional to 306,458.74, 422,926.78 and 255,386.02

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Solution

The fourth proportional to 306,458.74, 422,926.78 and 255,386.02 is: 352,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,458.74 : 422,926.78 = 255,386.02 : x
  2. Step 2: Convert to fraction form
    306,458.74/422,926.78 = 255,386.02/x
  3. Step 3: Cross multiply
    306,458.74x = 422,926.78 × 255,386.02
  4. Step 4: Simplify right side
    306,458.74x = 108,009,587,095.62
  5. Step 5: Solve for x
    x = 108,009,587,095.62/306,458.74
  6. Step 6: Final answer
    x = 352,444.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.