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Finding the Fourth Proportional to 512,905.40, 769,358.10 and 228,595.40

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Solution

The fourth proportional to 512,905.40, 769,358.10 and 228,595.40 is: 342,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,905.40 : 769,358.10 = 228,595.40 : x
  2. Step 2: Convert to fraction form
    512,905.40/769,358.10 = 228,595.40/x
  3. Step 3: Cross multiply
    512,905.40x = 769,358.10 × 228,595.40
  4. Step 4: Simplify right side
    512,905.40x = 175,871,722,612.74
  5. Step 5: Solve for x
    x = 175,871,722,612.74/512,905.40
  6. Step 6: Final answer
    x = 342,893.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.