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Finding the Fourth Proportional to 291,366.80, 402,085.80 and 164,083.40

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Solution

The fourth proportional to 291,366.80, 402,085.80 and 164,083.40 is: 226,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,366.80 : 402,085.80 = 164,083.40 : x
  2. Step 2: Convert to fraction form
    291,366.80/402,085.80 = 164,083.40/x
  3. Step 3: Cross multiply
    291,366.80x = 402,085.80 × 164,083.40
  4. Step 4: Simplify right side
    291,366.80x = 65,975,605,155.72
  5. Step 5: Solve for x
    x = 65,975,605,155.72/291,366.80
  6. Step 6: Final answer
    x = 226,434.88

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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.