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Finding the Fourth Proportional to 538,530.50, 743,141.70 and 296,812.32

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Solution

The fourth proportional to 538,530.50, 743,141.70 and 296,812.32 is: 409,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,530.50 : 743,141.70 = 296,812.32 : x
  2. Step 2: Convert to fraction form
    538,530.50/743,141.70 = 296,812.32/x
  3. Step 3: Cross multiply
    538,530.50x = 743,141.70 × 296,812.32
  4. Step 4: Simplify right side
    538,530.50x = 220,573,612,065.74
  5. Step 5: Solve for x
    x = 220,573,612,065.74/538,530.50
  6. Step 6: Final answer
    x = 409,584.26

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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.