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Finding the Fourth Proportional to 421,838.10, 582,046.56 and 249,810.12

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Solution

The fourth proportional to 421,838.10, 582,046.56 and 249,810.12 is: 344,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,838.10 : 582,046.56 = 249,810.12 : x
  2. Step 2: Convert to fraction form
    421,838.10/582,046.56 = 249,810.12/x
  3. Step 3: Cross multiply
    421,838.10x = 582,046.56 × 249,810.12
  4. Step 4: Simplify right side
    421,838.10x = 145,401,120,999.19
  5. Step 5: Solve for x
    x = 145,401,120,999.19/421,838.10
  6. Step 6: Final answer
    x = 344,684.66

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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.