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Finding the Fourth Proportional to 314,971.80, 472,481.40 and 90,330.48

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Solution

The fourth proportional to 314,971.80, 472,481.40 and 90,330.48 is: 135,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,971.80 : 472,481.40 = 90,330.48 : x
  2. Step 2: Convert to fraction form
    314,971.80/472,481.40 = 90,330.48/x
  3. Step 3: Cross multiply
    314,971.80x = 472,481.40 × 90,330.48
  4. Step 4: Simplify right side
    314,971.80x = 42,679,471,653.07
  5. Step 5: Solve for x
    x = 42,679,471,653.07/314,971.80
  6. Step 6: Final answer
    x = 135,502.52

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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.