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Finding the Fourth Proportional to 397,671.76, 596,507.56 and 144,971.20

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Solution

The fourth proportional to 397,671.76, 596,507.56 and 144,971.20 is: 217,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,671.76 : 596,507.56 = 144,971.20 : x
  2. Step 2: Convert to fraction form
    397,671.76/596,507.56 = 144,971.20/x
  3. Step 3: Cross multiply
    397,671.76x = 596,507.56 × 144,971.20
  4. Step 4: Simplify right side
    397,671.76x = 86,476,416,782.27
  5. Step 5: Solve for x
    x = 86,476,416,782.27/397,671.76
  6. Step 6: Final answer
    x = 217,456.77

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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.