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Finding the Fourth Proportional to 560,304.26, 773,222.16 and 305,660.78

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Solution

The fourth proportional to 560,304.26, 773,222.16 and 305,660.78 is: 421,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,304.26 : 773,222.16 = 305,660.78 : x
  2. Step 2: Convert to fraction form
    560,304.26/773,222.16 = 305,660.78/x
  3. Step 3: Cross multiply
    560,304.26x = 773,222.16 × 305,660.78
  4. Step 4: Simplify right side
    560,304.26x = 236,343,688,538.89
  5. Step 5: Solve for x
    x = 236,343,688,538.89/560,304.26
  6. Step 6: Final answer
    x = 421,813.12

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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.