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Finding the Fourth Proportional to 560,355.42, 773,287.87 and 305,706.60

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Solution

The fourth proportional to 560,355.42, 773,287.87 and 305,706.60 is: 421,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,355.42 : 773,287.87 = 305,706.60 : x
  2. Step 2: Convert to fraction form
    560,355.42/773,287.87 = 305,706.60/x
  3. Step 3: Cross multiply
    560,355.42x = 773,287.87 × 305,706.60
  4. Step 4: Simplify right side
    560,355.42x = 236,399,207,492.16
  5. Step 5: Solve for x
    x = 236,399,207,492.16/560,355.42
  6. Step 6: Final answer
    x = 421,873.69

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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.