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Finding the Fourth Proportional to 472,480.77, 709,053.27 and 427,308.30

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Solution

The fourth proportional to 472,480.77, 709,053.27 and 427,308.30 is: 641,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,480.77 : 709,053.27 = 427,308.30 : x
  2. Step 2: Convert to fraction form
    472,480.77/709,053.27 = 427,308.30/x
  3. Step 3: Cross multiply
    472,480.77x = 709,053.27 × 427,308.30
  4. Step 4: Simplify right side
    472,480.77x = 302,984,347,413.14
  5. Step 5: Solve for x
    x = 302,984,347,413.14/472,480.77
  6. Step 6: Final answer
    x = 641,262.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.