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Finding the Fourth Proportional to 290,566.86, 400,960.71 and 163,263.66

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Solution

The fourth proportional to 290,566.86, 400,960.71 and 163,263.66 is: 225,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,566.86 : 400,960.71 = 163,263.66 : x
  2. Step 2: Convert to fraction form
    290,566.86/400,960.71 = 163,263.66/x
  3. Step 3: Cross multiply
    290,566.86x = 400,960.71 × 163,263.66
  4. Step 4: Simplify right side
    290,566.86x = 65,462,313,030.80
  5. Step 5: Solve for x
    x = 65,462,313,030.80/290,566.86
  6. Step 6: Final answer
    x = 225,291.74

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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.