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Finding the Fourth Proportional to 312,564, 468,923.76 and 90,948

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Solution

The fourth proportional to 312,564, 468,923.76 and 90,948 is: 136,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,564 : 468,923.76 = 90,948 : x
  2. Step 2: Convert to fraction form
    312,564/468,923.76 = 90,948/x
  3. Step 3: Cross multiply
    312,564x = 468,923.76 × 90,948
  4. Step 4: Simplify right side
    312,564x = 42,647,678,124.48
  5. Step 5: Solve for x
    x = 42,647,678,124.48/312,564
  6. Step 6: Final answer
    x = 136,444.63

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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.