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Finding the Fourth Proportional to 369,200.40, 509,498.52 and 208,057.92

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Solution

The fourth proportional to 369,200.40, 509,498.52 and 208,057.92 is: 287,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,200.40 : 509,498.52 = 208,057.92 : x
  2. Step 2: Convert to fraction form
    369,200.40/509,498.52 = 208,057.92/x
  3. Step 3: Cross multiply
    369,200.40x = 509,498.52 × 208,057.92
  4. Step 4: Simplify right side
    369,200.40x = 106,005,202,314.28
  5. Step 5: Solve for x
    x = 106,005,202,314.28/369,200.40
  6. Step 6: Final answer
    x = 287,121.04

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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.