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Finding the Fourth Proportional to 397,902.40, 596,742.41 and 157,908.31

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Solution

The fourth proportional to 397,902.40, 596,742.41 and 157,908.31 is: 236,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,902.40 : 596,742.41 = 157,908.31 : x
  2. Step 2: Convert to fraction form
    397,902.40/596,742.41 = 157,908.31/x
  3. Step 3: Cross multiply
    397,902.40x = 596,742.41 × 157,908.31
  4. Step 4: Simplify right side
    397,902.40x = 94,230,584,371.34
  5. Step 5: Solve for x
    x = 94,230,584,371.34/397,902.40
  6. Step 6: Final answer
    x = 236,818.34

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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.