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Finding the Fourth Proportional to 427,889.67, 590,487.78 and 234,309.59

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Solution

The fourth proportional to 427,889.67, 590,487.78 and 234,309.59 is: 323,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,889.67 : 590,487.78 = 234,309.59 : x
  2. Step 2: Convert to fraction form
    427,889.67/590,487.78 = 234,309.59/x
  3. Step 3: Cross multiply
    427,889.67x = 590,487.78 × 234,309.59
  4. Step 4: Simplify right side
    427,889.67x = 138,356,949,631.81
  5. Step 5: Solve for x
    x = 138,356,949,631.81/427,889.67
  6. Step 6: Final answer
    x = 323,347.25

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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.