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Finding the Fourth Proportional to 291,990, 402,946.56 and 157,854

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Solution

The fourth proportional to 291,990, 402,946.56 and 157,854 is: 217,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,990 : 402,946.56 = 157,854 : x
  2. Step 2: Convert to fraction form
    291,990/402,946.56 = 157,854/x
  3. Step 3: Cross multiply
    291,990x = 402,946.56 × 157,854
  4. Step 4: Simplify right side
    291,990x = 63,606,726,282.24
  5. Step 5: Solve for x
    x = 63,606,726,282.24/291,990
  6. Step 6: Final answer
    x = 217,838.71

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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.