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Finding the Fourth Proportional to 538,853.19, 807,841.44 and 201,705

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Solution

The fourth proportional to 538,853.19, 807,841.44 and 201,705 is: 302,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,853.19 : 807,841.44 = 201,705 : x
  2. Step 2: Convert to fraction form
    538,853.19/807,841.44 = 201,705/x
  3. Step 3: Cross multiply
    538,853.19x = 807,841.44 × 201,705
  4. Step 4: Simplify right side
    538,853.19x = 162,945,657,655.20
  5. Step 5: Solve for x
    x = 162,945,657,655.20/538,853.19
  6. Step 6: Final answer
    x = 302,393.42

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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.