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Finding the Fourth Proportional to 547,978.64, 756,146.76 and 306,261.68

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Solution

The fourth proportional to 547,978.64, 756,146.76 and 306,261.68 is: 422,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,978.64 : 756,146.76 = 306,261.68 : x
  2. Step 2: Convert to fraction form
    547,978.64/756,146.76 = 306,261.68/x
  3. Step 3: Cross multiply
    547,978.64x = 756,146.76 × 306,261.68
  4. Step 4: Simplify right side
    547,978.64x = 231,578,777,044.16
  5. Step 5: Solve for x
    x = 231,578,777,044.16/547,978.64
  6. Step 6: Final answer
    x = 422,605.48

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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.