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Finding the Fourth Proportional to 553,141.80, 763,431 and 320,536.14

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Solution

The fourth proportional to 553,141.80, 763,431 and 320,536.14 is: 442,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,141.80 : 763,431 = 320,536.14 : x
  2. Step 2: Convert to fraction form
    553,141.80/763,431 = 320,536.14/x
  3. Step 3: Cross multiply
    553,141.80x = 763,431 × 320,536.14
  4. Step 4: Simplify right side
    553,141.80x = 244,707,225,896.34
  5. Step 5: Solve for x
    x = 244,707,225,896.34/553,141.80
  6. Step 6: Final answer
    x = 442,395.11

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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.