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Finding the Fourth Proportional to 312,529.86, 468,807.75 and 90,913.86

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Solution

The fourth proportional to 312,529.86, 468,807.75 and 90,913.86 is: 136,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,529.86 : 468,807.75 = 90,913.86 : x
  2. Step 2: Convert to fraction form
    312,529.86/468,807.75 = 90,913.86/x
  3. Step 3: Cross multiply
    312,529.86x = 468,807.75 × 90,913.86
  4. Step 4: Simplify right side
    312,529.86x = 42,621,122,150.42
  5. Step 5: Solve for x
    x = 42,621,122,150.42/312,529.86
  6. Step 6: Final answer
    x = 136,374.56

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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.