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Finding the Fourth Proportional to 359,484.30, 538,712.64 and 263,965.05

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Solution

The fourth proportional to 359,484.30, 538,712.64 and 263,965.05 is: 395,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,484.30 : 538,712.64 = 263,965.05 : x
  2. Step 2: Convert to fraction form
    359,484.30/538,712.64 = 263,965.05/x
  3. Step 3: Cross multiply
    359,484.30x = 538,712.64 × 263,965.05
  4. Step 4: Simplify right side
    359,484.30x = 142,201,308,953.23
  5. Step 5: Solve for x
    x = 142,201,308,953.23/359,484.30
  6. Step 6: Final answer
    x = 395,570.29

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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.