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Finding the Fourth Proportional to 428,006.62, 590,649.34 and 234,426.53

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Solution

The fourth proportional to 428,006.62, 590,649.34 and 234,426.53 is: 323,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,006.62 : 590,649.34 = 234,426.53 : x
  2. Step 2: Convert to fraction form
    428,006.62/590,649.34 = 234,426.53/x
  3. Step 3: Cross multiply
    428,006.62x = 590,649.34 × 234,426.53
  4. Step 4: Simplify right side
    428,006.62x = 138,463,875,222.99
  5. Step 5: Solve for x
    x = 138,463,875,222.99/428,006.62
  6. Step 6: Final answer
    x = 323,508.72

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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.