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Finding the Fourth Proportional to 560,287.74, 773,196.15 and 305,638.95

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Solution

The fourth proportional to 560,287.74, 773,196.15 and 305,638.95 is: 421,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,287.74 : 773,196.15 = 305,638.95 : x
  2. Step 2: Convert to fraction form
    560,287.74/773,196.15 = 305,638.95/x
  3. Step 3: Cross multiply
    560,287.74x = 773,196.15 × 305,638.95
  4. Step 4: Simplify right side
    560,287.74x = 236,318,859,430.04
  5. Step 5: Solve for x
    x = 236,318,859,430.04/560,287.74
  6. Step 6: Final answer
    x = 421,781.24

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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.