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Finding the Fourth Proportional to 553,614.38, 763,987.85 and 298,965.57

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Solution

The fourth proportional to 553,614.38, 763,987.85 and 298,965.57 is: 412,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,614.38 : 763,987.85 = 298,965.57 : x
  2. Step 2: Convert to fraction form
    553,614.38/763,987.85 = 298,965.57/x
  3. Step 3: Cross multiply
    553,614.38x = 763,987.85 × 298,965.57
  4. Step 4: Simplify right side
    553,614.38x = 228,406,063,048.33
  5. Step 5: Solve for x
    x = 228,406,063,048.33/553,614.38
  6. Step 6: Final answer
    x = 412,572.49

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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.