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Finding the Fourth Proportional to 231,880.94, 320,152.17 and 144,799.09

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Solution

The fourth proportional to 231,880.94, 320,152.17 and 144,799.09 is: 199,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,880.94 : 320,152.17 = 144,799.09 : x
  2. Step 2: Convert to fraction form
    231,880.94/320,152.17 = 144,799.09/x
  3. Step 3: Cross multiply
    231,880.94x = 320,152.17 × 144,799.09
  4. Step 4: Simplify right side
    231,880.94x = 46,357,742,620.14
  5. Step 5: Solve for x
    x = 46,357,742,620.14/231,880.94
  6. Step 6: Final answer
    x = 199,920.45

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1.5x scale

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.