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Finding the Fourth Proportional to 487,832.16, 731,744.13 and 381,305.72

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Solution

The fourth proportional to 487,832.16, 731,744.13 and 381,305.72 is: 571,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,832.16 : 731,744.13 = 381,305.72 : x
  2. Step 2: Convert to fraction form
    487,832.16/731,744.13 = 381,305.72/x
  3. Step 3: Cross multiply
    487,832.16x = 731,744.13 × 381,305.72
  4. Step 4: Simplify right side
    487,832.16x = 279,018,224,174.78
  5. Step 5: Solve for x
    x = 279,018,224,174.78/487,832.16
  6. Step 6: Final answer
    x = 571,955.37

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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.