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Finding the Fourth Proportional to 291,969.38, 402,916.65 and 157,833.38

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Solution

The fourth proportional to 291,969.38, 402,916.65 and 157,833.38 is: 217,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,969.38 : 402,916.65 = 157,833.38 : x
  2. Step 2: Convert to fraction form
    291,969.38/402,916.65 = 157,833.38/x
  3. Step 3: Cross multiply
    291,969.38x = 402,916.65 × 157,833.38
  4. Step 4: Simplify right side
    291,969.38x = 63,593,696,727.78
  5. Step 5: Solve for x
    x = 63,593,696,727.78/291,969.38
  6. Step 6: Final answer
    x = 217,809.47

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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.