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Finding the Fourth Proportional to 538,416, 743,014.08 and 312,192.72

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Solution

The fourth proportional to 538,416, 743,014.08 and 312,192.72 is: 430,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,416 : 743,014.08 = 312,192.72 : x
  2. Step 2: Convert to fraction form
    538,416/743,014.08 = 312,192.72/x
  3. Step 3: Cross multiply
    538,416x = 743,014.08 × 312,192.72
  4. Step 4: Simplify right side
    538,416x = 231,963,586,633.50
  5. Step 5: Solve for x
    x = 231,963,586,633.50/538,416
  6. Step 6: Final answer
    x = 430,825.95

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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.