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Finding the Fourth Proportional to 312,436.43, 468,671.04 and 99,221.34

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Solution

The fourth proportional to 312,436.43, 468,671.04 and 99,221.34 is: 148,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,436.43 : 468,671.04 = 99,221.34 : x
  2. Step 2: Convert to fraction form
    312,436.43/468,671.04 = 99,221.34/x
  3. Step 3: Cross multiply
    312,436.43x = 468,671.04 × 99,221.34
  4. Step 4: Simplify right side
    312,436.43x = 46,502,168,607.99
  5. Step 5: Solve for x
    x = 46,502,168,607.99/312,436.43
  6. Step 6: Final answer
    x = 148,837.22

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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.