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Finding the Fourth Proportional to 398,906.70, 598,360.05 and 304,428.30

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Solution

The fourth proportional to 398,906.70, 598,360.05 and 304,428.30 is: 456,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,906.70 : 598,360.05 = 304,428.30 : x
  2. Step 2: Convert to fraction form
    398,906.70/598,360.05 = 304,428.30/x
  3. Step 3: Cross multiply
    398,906.70x = 598,360.05 × 304,428.30
  4. Step 4: Simplify right side
    398,906.70x = 182,157,732,809.42
  5. Step 5: Solve for x
    x = 182,157,732,809.42/398,906.70
  6. Step 6: Final answer
    x = 456,642.45

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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.