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Finding the Fourth Proportional to 487,840.43, 731,756.45 and 381,313.90

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Solution

The fourth proportional to 487,840.43, 731,756.45 and 381,313.90 is: 571,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,840.43 : 731,756.45 = 381,313.90 : x
  2. Step 2: Convert to fraction form
    487,840.43/731,756.45 = 381,313.90/x
  3. Step 3: Cross multiply
    487,840.43x = 731,756.45 × 381,313.90
  4. Step 4: Simplify right side
    487,840.43x = 279,028,907,667.64
  5. Step 5: Solve for x
    x = 279,028,907,667.64/487,840.43
  6. Step 6: Final answer
    x = 571,967.57

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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.