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Finding the Fourth Proportional to 359,295.80, 538,943.70 and 122,646.20

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Solution

The fourth proportional to 359,295.80, 538,943.70 and 122,646.20 is: 183,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,295.80 : 538,943.70 = 122,646.20 : x
  2. Step 2: Convert to fraction form
    359,295.80/538,943.70 = 122,646.20/x
  3. Step 3: Cross multiply
    359,295.80x = 538,943.70 × 122,646.20
  4. Step 4: Simplify right side
    359,295.80x = 66,099,396,818.94
  5. Step 5: Solve for x
    x = 66,099,396,818.94/359,295.80
  6. Step 6: Final answer
    x = 183,969.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.