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Finding the Fourth Proportional to 640,972.09, 960,780.16 and 241,440

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Solution

The fourth proportional to 640,972.09, 960,780.16 and 241,440 is: 361,904.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,972.09 : 960,780.16 = 241,440 : x
  2. Step 2: Convert to fraction form
    640,972.09/960,780.16 = 241,440/x
  3. Step 3: Cross multiply
    640,972.09x = 960,780.16 × 241,440
  4. Step 4: Simplify right side
    640,972.09x = 231,970,761,830.40
  5. Step 5: Solve for x
    x = 231,970,761,830.40/640,972.09
  6. Step 6: Final answer
    x = 361,904.62

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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.