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Finding the Fourth Proportional to 316,382.54, 436,811.67 and 282,332.47

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Solution

The fourth proportional to 316,382.54, 436,811.67 and 282,332.47 is: 389,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,382.54 : 436,811.67 = 282,332.47 : x
  2. Step 2: Convert to fraction form
    316,382.54/436,811.67 = 282,332.47/x
  3. Step 3: Cross multiply
    316,382.54x = 436,811.67 × 282,332.47
  4. Step 4: Simplify right side
    316,382.54x = 123,326,114,120.20
  5. Step 5: Solve for x
    x = 123,326,114,120.20/316,382.54
  6. Step 6: Final answer
    x = 389,800.64

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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.