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Finding the Fourth Proportional to 369,463.15, 509,864.81 and 216,464.73

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Solution

The fourth proportional to 369,463.15, 509,864.81 and 216,464.73 is: 298,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,463.15 : 509,864.81 = 216,464.73 : x
  2. Step 2: Convert to fraction form
    369,463.15/509,864.81 = 216,464.73/x
  3. Step 3: Cross multiply
    369,463.15x = 509,864.81 × 216,464.73
  4. Step 4: Simplify right side
    369,463.15x = 110,367,747,350.83
  5. Step 5: Solve for x
    x = 110,367,747,350.83/369,463.15
  6. Step 6: Final answer
    x = 298,724.64

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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.