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Finding the Fourth Proportional to 369,295.38, 509,621.49 and 208,150.74

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Solution

The fourth proportional to 369,295.38, 509,621.49 and 208,150.74 is: 287,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,295.38 : 509,621.49 = 208,150.74 : x
  2. Step 2: Convert to fraction form
    369,295.38/509,621.49 = 208,150.74/x
  3. Step 3: Cross multiply
    369,295.38x = 509,621.49 × 208,150.74
  4. Step 4: Simplify right side
    369,295.38x = 106,078,090,263.40
  5. Step 5: Solve for x
    x = 106,078,090,263.40/369,295.38
  6. Step 6: Final answer
    x = 287,244.56

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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.