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Finding the Fourth Proportional to 385,732.38, 578,653.53 and 119,513.82

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Solution

The fourth proportional to 385,732.38, 578,653.53 and 119,513.82 is: 179,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.38 : 578,653.53 = 119,513.82 : x
  2. Step 2: Convert to fraction form
    385,732.38/578,653.53 = 119,513.82/x
  3. Step 3: Cross multiply
    385,732.38x = 578,653.53 × 119,513.82
  4. Step 4: Simplify right side
    385,732.38x = 69,157,095,721.60
  5. Step 5: Solve for x
    x = 69,157,095,721.60/385,732.38
  6. Step 6: Final answer
    x = 179,287.76

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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.