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Finding the Fourth Proportional to 309,278.88, 463,787.10 and 109,649.52

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Solution

The fourth proportional to 309,278.88, 463,787.10 and 109,649.52 is: 164,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,278.88 : 463,787.10 = 109,649.52 : x
  2. Step 2: Convert to fraction form
    309,278.88/463,787.10 = 109,649.52/x
  3. Step 3: Cross multiply
    309,278.88x = 463,787.10 × 109,649.52
  4. Step 4: Simplify right side
    309,278.88x = 50,854,032,897.19
  5. Step 5: Solve for x
    x = 50,854,032,897.19/309,278.88
  6. Step 6: Final answer
    x = 164,427.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.