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Finding the Fourth Proportional to 543,684, 750,283.92 and 305,220

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Solution

The fourth proportional to 543,684, 750,283.92 and 305,220 is: 421,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,684 : 750,283.92 = 305,220 : x
  2. Step 2: Convert to fraction form
    543,684/750,283.92 = 305,220/x
  3. Step 3: Cross multiply
    543,684x = 750,283.92 × 305,220
  4. Step 4: Simplify right side
    543,684x = 229,001,658,062.40
  5. Step 5: Solve for x
    x = 229,001,658,062.40/543,684
  6. Step 6: Final answer
    x = 421,203.60

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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.