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Finding the Fourth Proportional to 369,362.68, 509,725.02 and 208,217.80

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Solution

The fourth proportional to 369,362.68, 509,725.02 and 208,217.80 is: 287,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,362.68 : 509,725.02 = 208,217.80 : x
  2. Step 2: Convert to fraction form
    369,362.68/509,725.02 = 208,217.80/x
  3. Step 3: Cross multiply
    369,362.68x = 509,725.02 × 208,217.80
  4. Step 4: Simplify right side
    369,362.68x = 106,133,822,269.36
  5. Step 5: Solve for x
    x = 106,133,822,269.36/369,362.68
  6. Step 6: Final answer
    x = 287,343.11

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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.