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Finding the Fourth Proportional to 229,296.17, 343,569.71 and 139,366.39

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Solution

The fourth proportional to 229,296.17, 343,569.71 and 139,366.39 is: 208,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,296.17 : 343,569.71 = 139,366.39 : x
  2. Step 2: Convert to fraction form
    229,296.17/343,569.71 = 139,366.39/x
  3. Step 3: Cross multiply
    229,296.17x = 343,569.71 × 139,366.39
  4. Step 4: Simplify right side
    229,296.17x = 47,882,068,988.71
  5. Step 5: Solve for x
    x = 47,882,068,988.71/229,296.17
  6. Step 6: Final answer
    x = 208,821.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.