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Finding the Fourth Proportional to 441,702.09, 609,393.56 and 288,829.71

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Solution

The fourth proportional to 441,702.09, 609,393.56 and 288,829.71 is: 398,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,702.09 : 609,393.56 = 288,829.71 : x
  2. Step 2: Convert to fraction form
    441,702.09/609,393.56 = 288,829.71/x
  3. Step 3: Cross multiply
    441,702.09x = 609,393.56 × 288,829.71
  4. Step 4: Simplify right side
    441,702.09x = 176,010,963,766.52
  5. Step 5: Solve for x
    x = 176,010,963,766.52/441,702.09
  6. Step 6: Final answer
    x = 398,483.43

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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.