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Finding the Fourth Proportional to 423,838.08, 585,050.01 and 280,644.24

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Solution

The fourth proportional to 423,838.08, 585,050.01 and 280,644.24 is: 387,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,838.08 : 585,050.01 = 280,644.24 : x
  2. Step 2: Convert to fraction form
    423,838.08/585,050.01 = 280,644.24/x
  3. Step 3: Cross multiply
    423,838.08x = 585,050.01 × 280,644.24
  4. Step 4: Simplify right side
    423,838.08x = 164,190,915,418.44
  5. Step 5: Solve for x
    x = 164,190,915,418.44/423,838.08
  6. Step 6: Final answer
    x = 387,390.66

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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.