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Finding the Fourth Proportional to 385,559.46, 578,366.22 and 119,284.92

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Solution

The fourth proportional to 385,559.46, 578,366.22 and 119,284.92 is: 178,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,559.46 : 578,366.22 = 119,284.92 : x
  2. Step 2: Convert to fraction form
    385,559.46/578,366.22 = 119,284.92/x
  3. Step 3: Cross multiply
    385,559.46x = 578,366.22 × 119,284.92
  4. Step 4: Simplify right side
    385,559.46x = 68,990,368,730.72
  5. Step 5: Solve for x
    x = 68,990,368,730.72/385,559.46
  6. Step 6: Final answer
    x = 178,935.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.