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Finding the Fourth Proportional to 468,381.10, 646,388.76 and 287,103.10

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Solution

The fourth proportional to 468,381.10, 646,388.76 and 287,103.10 is: 396,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,381.10 : 646,388.76 = 287,103.10 : x
  2. Step 2: Convert to fraction form
    468,381.10/646,388.76 = 287,103.10/x
  3. Step 3: Cross multiply
    468,381.10x = 646,388.76 × 287,103.10
  4. Step 4: Simplify right side
    468,381.10x = 185,580,216,801.16
  5. Step 5: Solve for x
    x = 185,580,216,801.16/468,381.10
  6. Step 6: Final answer
    x = 396,216.28

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1.5x scale

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.