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Finding the Fourth Proportional to 312,777.39, 469,094.13 and 186,453.30

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Solution

The fourth proportional to 312,777.39, 469,094.13 and 186,453.30 is: 279,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,777.39 : 469,094.13 = 186,453.30 : x
  2. Step 2: Convert to fraction form
    312,777.39/469,094.13 = 186,453.30/x
  3. Step 3: Cross multiply
    312,777.39x = 469,094.13 × 186,453.30
  4. Step 4: Simplify right side
    312,777.39x = 87,464,148,549.13
  5. Step 5: Solve for x
    x = 87,464,148,549.13/312,777.39
  6. Step 6: Final answer
    x = 279,637.06

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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.