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Finding the Fourth Proportional to 553,914.74, 764,402.73 and 299,265.86

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Solution

The fourth proportional to 553,914.74, 764,402.73 and 299,265.86 is: 412,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,914.74 : 764,402.73 = 299,265.86 : x
  2. Step 2: Convert to fraction form
    553,914.74/764,402.73 = 299,265.86/x
  3. Step 3: Cross multiply
    553,914.74x = 764,402.73 × 299,265.86
  4. Step 4: Simplify right side
    553,914.74x = 228,759,640,379.80
  5. Step 5: Solve for x
    x = 228,759,640,379.80/553,914.74
  6. Step 6: Final answer
    x = 412,987.10

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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.