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Finding the Fourth Proportional to 312,363, 468,557.46 and 90,747

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Solution

The fourth proportional to 312,363, 468,557.46 and 90,747 is: 136,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,363 : 468,557.46 = 90,747 : x
  2. Step 2: Convert to fraction form
    312,363/468,557.46 = 90,747/x
  3. Step 3: Cross multiply
    312,363x = 468,557.46 × 90,747
  4. Step 4: Simplify right side
    312,363x = 42,520,183,822.62
  5. Step 5: Solve for x
    x = 42,520,183,822.62/312,363
  6. Step 6: Final answer
    x = 136,124.27

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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.