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Finding the Fourth Proportional to 509,062.40, 763,363.20 and 228,435.20

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Solution

The fourth proportional to 509,062.40, 763,363.20 and 228,435.20 is: 342,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,062.40 : 763,363.20 = 228,435.20 : x
  2. Step 2: Convert to fraction form
    509,062.40/763,363.20 = 228,435.20/x
  3. Step 3: Cross multiply
    509,062.40x = 763,363.20 × 228,435.20
  4. Step 4: Simplify right side
    509,062.40x = 174,379,025,264.64
  5. Step 5: Solve for x
    x = 174,379,025,264.64/509,062.40
  6. Step 6: Final answer
    x = 342,549.41

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Why These Related Problems?

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