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Finding the Fourth Proportional to 312,657.39, 468,752.81 and 146,406.51

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Solution

The fourth proportional to 312,657.39, 468,752.81 and 146,406.51 is: 219,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,657.39 : 468,752.81 = 146,406.51 : x
  2. Step 2: Convert to fraction form
    312,657.39/468,752.81 = 146,406.51/x
  3. Step 3: Cross multiply
    312,657.39x = 468,752.81 × 146,406.51
  4. Step 4: Simplify right side
    312,657.39x = 68,628,462,232.76
  5. Step 5: Solve for x
    x = 68,628,462,232.76/312,657.39
  6. Step 6: Final answer
    x = 219,500.53

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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.