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Finding the Fourth Proportional to 409,565.41, 565,202.89 and 228,288.83

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Solution

The fourth proportional to 409,565.41, 565,202.89 and 228,288.83 is: 315,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,565.41 : 565,202.89 = 228,288.83 : x
  2. Step 2: Convert to fraction form
    409,565.41/565,202.89 = 228,288.83/x
  3. Step 3: Cross multiply
    409,565.41x = 565,202.89 × 228,288.83
  4. Step 4: Simplify right side
    409,565.41x = 129,029,506,470.72
  5. Step 5: Solve for x
    x = 129,029,506,470.72/409,565.41
  6. Step 6: Final answer
    x = 315,040.05

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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.