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Finding the Fourth Proportional to 538,279.83, 807,577.64 and 159,210.56

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Solution

The fourth proportional to 538,279.83, 807,577.64 and 159,210.56 is: 238,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,279.83 : 807,577.64 = 159,210.56 : x
  2. Step 2: Convert to fraction form
    538,279.83/807,577.64 = 159,210.56/x
  3. Step 3: Cross multiply
    538,279.83x = 807,577.64 × 159,210.56
  4. Step 4: Simplify right side
    538,279.83x = 128,574,891,023.37
  5. Step 5: Solve for x
    x = 128,574,891,023.37/538,279.83
  6. Step 6: Final answer
    x = 238,862.55

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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.