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Finding the Fourth Proportional to 538,712.69, 743,417.51 and 309,275.46

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Solution

The fourth proportional to 538,712.69, 743,417.51 and 309,275.46 is: 426,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,712.69 : 743,417.51 = 309,275.46 : x
  2. Step 2: Convert to fraction form
    538,712.69/743,417.51 = 309,275.46/x
  3. Step 3: Cross multiply
    538,712.69x = 743,417.51 × 309,275.46
  4. Step 4: Simplify right side
    538,712.69x = 229,920,790,830.93
  5. Step 5: Solve for x
    x = 229,920,790,830.93/538,712.69
  6. Step 6: Final answer
    x = 426,796.69

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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.