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Finding the Fourth Proportional to 586,463.46, 809,078.98 and 356,836.66

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Solution

The fourth proportional to 586,463.46, 809,078.98 and 356,836.66 is: 492,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,463.46 : 809,078.98 = 356,836.66 : x
  2. Step 2: Convert to fraction form
    586,463.46/809,078.98 = 356,836.66/x
  3. Step 3: Cross multiply
    586,463.46x = 809,078.98 × 356,836.66
  4. Step 4: Simplify right side
    586,463.46x = 288,709,040,899.41
  5. Step 5: Solve for x
    x = 288,709,040,899.41/586,463.46
  6. Step 6: Final answer
    x = 492,288.20

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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.