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Finding the Fourth Proportional to 493,838.80, 681,547.71 and 356,130.97

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Solution

The fourth proportional to 493,838.80, 681,547.71 and 356,130.97 is: 491,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,838.80 : 681,547.71 = 356,130.97 : x
  2. Step 2: Convert to fraction form
    493,838.80/681,547.71 = 356,130.97/x
  3. Step 3: Cross multiply
    493,838.80x = 681,547.71 × 356,130.97
  4. Step 4: Simplify right side
    493,838.80x = 242,720,247,063.58
  5. Step 5: Solve for x
    x = 242,720,247,063.58/493,838.80
  6. Step 6: Final answer
    x = 491,496.92

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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.