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Finding the Fourth Proportional to 538,426.16, 743,026.55 and 296,708.66

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Solution

The fourth proportional to 538,426.16, 743,026.55 and 296,708.66 is: 409,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,426.16 : 743,026.55 = 296,708.66 : x
  2. Step 2: Convert to fraction form
    538,426.16/743,026.55 = 296,708.66/x
  3. Step 3: Cross multiply
    538,426.16x = 743,026.55 × 296,708.66
  4. Step 4: Simplify right side
    538,426.16x = 220,462,414,594.26
  5. Step 5: Solve for x
    x = 220,462,414,594.26/538,426.16
  6. Step 6: Final answer
    x = 409,457.10

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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.