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Finding the Fourth Proportional to 409,852.69, 565,595.62 and 228,564.83

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Solution

The fourth proportional to 409,852.69, 565,595.62 and 228,564.83 is: 315,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852.69 : 565,595.62 = 228,564.83 : x
  2. Step 2: Convert to fraction form
    409,852.69/565,595.62 = 228,564.83/x
  3. Step 3: Cross multiply
    409,852.69x = 565,595.62 × 228,564.83
  4. Step 4: Simplify right side
    409,852.69x = 129,275,266,734.05
  5. Step 5: Solve for x
    x = 129,275,266,734.05/409,852.69
  6. Step 6: Final answer
    x = 315,418.86

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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.