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Finding the Fourth Proportional to 553,143.80, 763,433.76 and 320,538.14

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Solution

The fourth proportional to 553,143.80, 763,433.76 and 320,538.14 is: 442,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,143.80 : 763,433.76 = 320,538.14 : x
  2. Step 2: Convert to fraction form
    553,143.80/763,433.76 = 320,538.14/x
  3. Step 3: Cross multiply
    553,143.80x = 763,433.76 × 320,538.14
  4. Step 4: Simplify right side
    553,143.80x = 244,709,637,443.61
  5. Step 5: Solve for x
    x = 244,709,637,443.61/553,143.80
  6. Step 6: Final answer
    x = 442,397.87

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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.