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Finding the Fourth Proportional to 640,371.74, 883,627.61 and 411,239.40

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Solution

The fourth proportional to 640,371.74, 883,627.61 and 411,239.40 is: 567,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,371.74 : 883,627.61 = 411,239.40 : x
  2. Step 2: Convert to fraction form
    640,371.74/883,627.61 = 411,239.40/x
  3. Step 3: Cross multiply
    640,371.74x = 883,627.61 × 411,239.40
  4. Step 4: Simplify right side
    640,371.74x = 363,382,488,159.83
  5. Step 5: Solve for x
    x = 363,382,488,159.83/640,371.74
  6. Step 6: Final answer
    x = 567,455.53

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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.