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Finding the Fourth Proportional to 538,438.20, 807,657.30 and 463,642.80

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Solution

The fourth proportional to 538,438.20, 807,657.30 and 463,642.80 is: 695,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,438.20 : 807,657.30 = 463,642.80 : x
  2. Step 2: Convert to fraction form
    538,438.20/807,657.30 = 463,642.80/x
  3. Step 3: Cross multiply
    538,438.20x = 807,657.30 × 463,642.80
  4. Step 4: Simplify right side
    538,438.20x = 374,464,492,012.44
  5. Step 5: Solve for x
    x = 374,464,492,012.44/538,438.20
  6. Step 6: Final answer
    x = 695,464.20

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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.