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Finding the Fourth Proportional to 502,464.48, 693,439.56 and 287,671.92

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Solution

The fourth proportional to 502,464.48, 693,439.56 and 287,671.92 is: 397,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,464.48 : 693,439.56 = 287,671.92 : x
  2. Step 2: Convert to fraction form
    502,464.48/693,439.56 = 287,671.92/x
  3. Step 3: Cross multiply
    502,464.48x = 693,439.56 × 287,671.92
  4. Step 4: Simplify right side
    502,464.48x = 199,483,089,629.16
  5. Step 5: Solve for x
    x = 199,483,089,629.16/502,464.48
  6. Step 6: Final answer
    x = 397,009.34

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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.