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Finding the Fourth Proportional to 284,379.81, 392,621.64 and 181,072.32

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Solution

The fourth proportional to 284,379.81, 392,621.64 and 181,072.32 is: 249,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,379.81 : 392,621.64 = 181,072.32 : x
  2. Step 2: Convert to fraction form
    284,379.81/392,621.64 = 181,072.32/x
  3. Step 3: Cross multiply
    284,379.81x = 392,621.64 × 181,072.32
  4. Step 4: Simplify right side
    284,379.81x = 71,092,911,237.00
  5. Step 5: Solve for x
    x = 71,092,911,237.00/284,379.81
  6. Step 6: Final answer
    x = 249,992.82

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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.