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Finding the Fourth Proportional to 388,100.80, 535,290.42 and 342,698.68

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Solution

The fourth proportional to 388,100.80, 535,290.42 and 342,698.68 is: 472,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,100.80 : 535,290.42 = 342,698.68 : x
  2. Step 2: Convert to fraction form
    388,100.80/535,290.42 = 342,698.68/x
  3. Step 3: Cross multiply
    388,100.80x = 535,290.42 × 342,698.68
  4. Step 4: Simplify right side
    388,100.80x = 183,443,320,350.65
  5. Step 5: Solve for x
    x = 183,443,320,350.65/388,100.80
  6. Step 6: Final answer
    x = 472,669.27

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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.