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Finding the Fourth Proportional to 409,598.69, 565,265.61 and 228,311.91

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Solution

The fourth proportional to 409,598.69, 565,265.61 and 228,311.91 is: 315,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,598.69 : 565,265.61 = 228,311.91 : x
  2. Step 2: Convert to fraction form
    409,598.69/565,265.61 = 228,311.91/x
  3. Step 3: Cross multiply
    409,598.69x = 565,265.61 × 228,311.91
  4. Step 4: Simplify right side
    409,598.69x = 129,056,871,076.42
  5. Step 5: Solve for x
    x = 129,056,871,076.42/409,598.69
  6. Step 6: Final answer
    x = 315,081.26

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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.