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Finding the Fourth Proportional to 423,031.79, 634,232.10 and 254,512.63

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Solution

The fourth proportional to 423,031.79, 634,232.10 and 254,512.63 is: 381,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,031.79 : 634,232.10 = 254,512.63 : x
  2. Step 2: Convert to fraction form
    423,031.79/634,232.10 = 254,512.63/x
  3. Step 3: Cross multiply
    423,031.79x = 634,232.10 × 254,512.63
  4. Step 4: Simplify right side
    423,031.79x = 161,420,080,832.82
  5. Step 5: Solve for x
    x = 161,420,080,832.82/423,031.79
  6. Step 6: Final answer
    x = 381,579.08

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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.