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Finding the Fourth Proportional to 546,717.87, 754,470.98 and 305,000.43

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Solution

The fourth proportional to 546,717.87, 754,470.98 and 305,000.43 is: 420,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,717.87 : 754,470.98 = 305,000.43 : x
  2. Step 2: Convert to fraction form
    546,717.87/754,470.98 = 305,000.43/x
  3. Step 3: Cross multiply
    546,717.87x = 754,470.98 × 305,000.43
  4. Step 4: Simplify right side
    546,717.87x = 230,113,973,322.52
  5. Step 5: Solve for x
    x = 230,113,973,322.52/546,717.87
  6. Step 6: Final answer
    x = 420,900.77

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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.