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Finding the Fourth Proportional to 538,666.62, 743,364.92 and 296,957.84

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Solution

The fourth proportional to 538,666.62, 743,364.92 and 296,957.84 is: 409,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,666.62 : 743,364.92 = 296,957.84 : x
  2. Step 2: Convert to fraction form
    538,666.62/743,364.92 = 296,957.84/x
  3. Step 3: Cross multiply
    538,666.62x = 743,364.92 × 296,957.84
  4. Step 4: Simplify right side
    538,666.62x = 220,748,043,881.60
  5. Step 5: Solve for x
    x = 220,748,043,881.60/538,666.62
  6. Step 6: Final answer
    x = 409,804.57

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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.