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Finding the Fourth Proportional to 369,362.18, 509,724.33 and 208,217.30

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Solution

The fourth proportional to 369,362.18, 509,724.33 and 208,217.30 is: 287,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,362.18 : 509,724.33 = 208,217.30 : x
  2. Step 2: Convert to fraction form
    369,362.18/509,724.33 = 208,217.30/x
  3. Step 3: Cross multiply
    369,362.18x = 509,724.33 × 208,217.30
  4. Step 4: Simplify right side
    369,362.18x = 106,133,423,736.91
  5. Step 5: Solve for x
    x = 106,133,423,736.91/369,362.18
  6. Step 6: Final answer
    x = 287,342.42

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1.5x scale

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.