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Finding the Fourth Proportional to 640,802.24, 960,984.64 and 261,663.92

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Solution

The fourth proportional to 640,802.24, 960,984.64 and 261,663.92 is: 392,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,802.24 : 960,984.64 = 261,663.92 : x
  2. Step 2: Convert to fraction form
    640,802.24/960,984.64 = 261,663.92/x
  3. Step 3: Cross multiply
    640,802.24x = 960,984.64 × 261,663.92
  4. Step 4: Simplify right side
    640,802.24x = 251,455,007,962.19
  5. Step 5: Solve for x
    x = 251,455,007,962.19/640,802.24
  6. Step 6: Final answer
    x = 392,406.57

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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.