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Finding the Fourth Proportional to 547,049.48, 754,966.32 and 305,379.24

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Solution

The fourth proportional to 547,049.48, 754,966.32 and 305,379.24 is: 421,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,049.48 : 754,966.32 = 305,379.24 : x
  2. Step 2: Convert to fraction form
    547,049.48/754,966.32 = 305,379.24/x
  3. Step 3: Cross multiply
    547,049.48x = 754,966.32 × 305,379.24
  4. Step 4: Simplify right side
    547,049.48x = 230,551,041,027.20
  5. Step 5: Solve for x
    x = 230,551,041,027.20/547,049.48
  6. Step 6: Final answer
    x = 421,444.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.