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Finding the Fourth Proportional to 640,853.10, 884,375.01 and 361,428.12

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Solution

The fourth proportional to 640,853.10, 884,375.01 and 361,428.12 is: 498,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,853.10 : 884,375.01 = 361,428.12 : x
  2. Step 2: Convert to fraction form
    640,853.10/884,375.01 = 361,428.12/x
  3. Step 3: Cross multiply
    640,853.10x = 884,375.01 × 361,428.12
  4. Step 4: Simplify right side
    640,853.10x = 319,637,997,239.28
  5. Step 5: Solve for x
    x = 319,637,997,239.28/640,853.10
  6. Step 6: Final answer
    x = 498,769.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.