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Finding the Fourth Proportional to 560,347.27, 773,287.90 and 305,698.46

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Solution

The fourth proportional to 560,347.27, 773,287.90 and 305,698.46 is: 421,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,347.27 : 773,287.90 = 305,698.46 : x
  2. Step 2: Convert to fraction form
    560,347.27/773,287.90 = 305,698.46/x
  3. Step 3: Cross multiply
    560,347.27x = 773,287.90 × 305,698.46
  4. Step 4: Simplify right side
    560,347.27x = 236,392,915,535.95
  5. Step 5: Solve for x
    x = 236,392,915,535.95/560,347.27
  6. Step 6: Final answer
    x = 421,868.60

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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.