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Finding the Fourth Proportional to 312,851.61, 469,302.12 and 123,299.06

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Solution

The fourth proportional to 312,851.61, 469,302.12 and 123,299.06 is: 184,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,851.61 : 469,302.12 = 123,299.06 : x
  2. Step 2: Convert to fraction form
    312,851.61/469,302.12 = 123,299.06/x
  3. Step 3: Cross multiply
    312,851.61x = 469,302.12 × 123,299.06
  4. Step 4: Simplify right side
    312,851.61x = 57,864,507,905.50
  5. Step 5: Solve for x
    x = 57,864,507,905.50/312,851.61
  6. Step 6: Final answer
    x = 184,958.32

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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.