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Finding the Fourth Proportional to 426,980.16, 640,470.24 and 111,434.33

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Solution

The fourth proportional to 426,980.16, 640,470.24 and 111,434.33 is: 167,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,980.16 : 640,470.24 = 111,434.33 : x
  2. Step 2: Convert to fraction form
    426,980.16/640,470.24 = 111,434.33/x
  3. Step 3: Cross multiply
    426,980.16x = 640,470.24 × 111,434.33
  4. Step 4: Simplify right side
    426,980.16x = 71,370,373,680.51
  5. Step 5: Solve for x
    x = 71,370,373,680.51/426,980.16
  6. Step 6: Final answer
    x = 167,151.50

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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.