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Finding the Fourth Proportional to 389,897.76, 538,028.88 and 220,148.64

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Solution

The fourth proportional to 389,897.76, 538,028.88 and 220,148.64 is: 303,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,897.76 : 538,028.88 = 220,148.64 : x
  2. Step 2: Convert to fraction form
    389,897.76/538,028.88 = 220,148.64/x
  3. Step 3: Cross multiply
    389,897.76x = 538,028.88 × 220,148.64
  4. Step 4: Simplify right side
    389,897.76x = 118,446,326,212.72
  5. Step 5: Solve for x
    x = 118,446,326,212.72/389,897.76
  6. Step 6: Final answer
    x = 303,788.17

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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.