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Finding the Fourth Proportional to 397,911.92, 596,809.02 and 145,133.24

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Solution

The fourth proportional to 397,911.92, 596,809.02 and 145,133.24 is: 217,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,911.92 : 596,809.02 = 145,133.24 : x
  2. Step 2: Convert to fraction form
    397,911.92/596,809.02 = 145,133.24/x
  3. Step 3: Cross multiply
    397,911.92x = 596,809.02 × 145,133.24
  4. Step 4: Simplify right side
    397,911.92x = 86,616,826,733.82
  5. Step 5: Solve for x
    x = 86,616,826,733.82/397,911.92
  6. Step 6: Final answer
    x = 217,678.39

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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.