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Finding the Fourth Proportional to 438,374.88, 605,375.15 and 414,492.50

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Solution

The fourth proportional to 438,374.88, 605,375.15 and 414,492.50 is: 572,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,374.88 : 605,375.15 = 414,492.50 : x
  2. Step 2: Convert to fraction form
    438,374.88/605,375.15 = 414,492.50/x
  3. Step 3: Cross multiply
    438,374.88x = 605,375.15 × 414,492.50
  4. Step 4: Simplify right side
    438,374.88x = 250,923,460,356.70
  5. Step 5: Solve for x
    x = 250,923,460,356.70/438,374.88
  6. Step 6: Final answer
    x = 572,394.70

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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.