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Finding the Fourth Proportional to 228,304.86, 342,457.29 and 78,548.82

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Solution

The fourth proportional to 228,304.86, 342,457.29 and 78,548.82 is: 117,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,304.86 : 342,457.29 = 78,548.82 : x
  2. Step 2: Convert to fraction form
    228,304.86/342,457.29 = 78,548.82/x
  3. Step 3: Cross multiply
    228,304.86x = 342,457.29 × 78,548.82
  4. Step 4: Simplify right side
    228,304.86x = 26,899,616,029.90
  5. Step 5: Solve for x
    x = 26,899,616,029.90/228,304.86
  6. Step 6: Final answer
    x = 117,823.23

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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.