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Finding the Fourth Proportional to 539,623, 743,987.46 and 442,468.90

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Solution

The fourth proportional to 539,623, 743,987.46 and 442,468.90 is: 610,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,623 : 743,987.46 = 442,468.90 : x
  2. Step 2: Convert to fraction form
    539,623/743,987.46 = 442,468.90/x
  3. Step 3: Cross multiply
    539,623x = 743,987.46 × 442,468.90
  4. Step 4: Simplify right side
    539,623x = 329,191,313,039.99
  5. Step 5: Solve for x
    x = 329,191,313,039.99/539,623
  6. Step 6: Final answer
    x = 610,039.44

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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.