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Finding the Fourth Proportional to 312,787.36, 469,229.64 and 102,376.90

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Solution

The fourth proportional to 312,787.36, 469,229.64 and 102,376.90 is: 153,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,787.36 : 469,229.64 = 102,376.90 : x
  2. Step 2: Convert to fraction form
    312,787.36/469,229.64 = 102,376.90/x
  3. Step 3: Cross multiply
    312,787.36x = 469,229.64 × 102,376.90
  4. Step 4: Simplify right side
    312,787.36x = 48,038,275,931.32
  5. Step 5: Solve for x
    x = 48,038,275,931.32/312,787.36
  6. Step 6: Final answer
    x = 153,581.26

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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.