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Finding the Fourth Proportional to 312,419.95, 468,533.06 and 112,714.38

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Solution

The fourth proportional to 312,419.95, 468,533.06 and 112,714.38 is: 169,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,419.95 : 468,533.06 = 112,714.38 : x
  2. Step 2: Convert to fraction form
    312,419.95/468,533.06 = 112,714.38/x
  3. Step 3: Cross multiply
    312,419.95x = 468,533.06 × 112,714.38
  4. Step 4: Simplify right side
    312,419.95x = 52,810,412,803.83
  5. Step 5: Solve for x
    x = 52,810,412,803.83/312,419.95
  6. Step 6: Final answer
    x = 169,036.62

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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.