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Finding the Fourth Proportional to 401,282.47, 553,757.80 and 219,988.20

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Solution

The fourth proportional to 401,282.47, 553,757.80 and 219,988.20 is: 303,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,282.47 : 553,757.80 = 219,988.20 : x
  2. Step 2: Convert to fraction form
    401,282.47/553,757.80 = 219,988.20/x
  3. Step 3: Cross multiply
    401,282.47x = 553,757.80 × 219,988.20
  4. Step 4: Simplify right side
    401,282.47x = 121,820,181,657.96
  5. Step 5: Solve for x
    x = 121,820,181,657.96/401,282.47
  6. Step 6: Final answer
    x = 303,577.13

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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.