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Finding the Fourth Proportional to 525,173.46, 787,809.18 and 406,977.44

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Solution

The fourth proportional to 525,173.46, 787,809.18 and 406,977.44 is: 610,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,173.46 : 787,809.18 = 406,977.44 : x
  2. Step 2: Convert to fraction form
    525,173.46/787,809.18 = 406,977.44/x
  3. Step 3: Cross multiply
    525,173.46x = 787,809.18 × 406,977.44
  4. Step 4: Simplify right side
    525,173.46x = 320,620,563,284.90
  5. Step 5: Solve for x
    x = 320,620,563,284.90/525,173.46
  6. Step 6: Final answer
    x = 610,504.12

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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.