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Finding the Fourth Proportional to 409,379.90, 564,985.86 and 228,121.34

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Solution

The fourth proportional to 409,379.90, 564,985.86 and 228,121.34 is: 314,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,379.90 : 564,985.86 = 228,121.34 : x
  2. Step 2: Convert to fraction form
    409,379.90/564,985.86 = 228,121.34/x
  3. Step 3: Cross multiply
    409,379.90x = 564,985.86 × 228,121.34
  4. Step 4: Simplify right side
    409,379.90x = 128,885,331,464.25
  5. Step 5: Solve for x
    x = 128,885,331,464.25/409,379.90
  6. Step 6: Final answer
    x = 314,830.63

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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.