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Finding the Fourth Proportional to 369,432.78, 509,807.04 and 208,286.42

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Solution

The fourth proportional to 369,432.78, 509,807.04 and 208,286.42 is: 287,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,432.78 : 509,807.04 = 208,286.42 : x
  2. Step 2: Convert to fraction form
    369,432.78/509,807.04 = 208,286.42/x
  3. Step 3: Cross multiply
    369,432.78x = 509,807.04 × 208,286.42
  4. Step 4: Simplify right side
    369,432.78x = 106,185,883,252.40
  5. Step 5: Solve for x
    x = 106,185,883,252.40/369,432.78
  6. Step 6: Final answer
    x = 287,429.51

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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.