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Finding the Fourth Proportional to 470,077.32, 703,556.73 and 428,054.52

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Solution

The fourth proportional to 470,077.32, 703,556.73 and 428,054.52 is: 640,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,077.32 : 703,556.73 = 428,054.52 : x
  2. Step 2: Convert to fraction form
    470,077.32/703,556.73 = 428,054.52/x
  3. Step 3: Cross multiply
    470,077.32x = 703,556.73 × 428,054.52
  4. Step 4: Simplify right side
    470,077.32x = 301,160,638,352.92
  5. Step 5: Solve for x
    x = 301,160,638,352.92/470,077.32
  6. Step 6: Final answer
    x = 640,661.92

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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.