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Finding the Fourth Proportional to 427,258.10, 640,923.74 and 111,714.50

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Solution

The fourth proportional to 427,258.10, 640,923.74 and 111,714.50 is: 167,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,258.10 : 640,923.74 = 111,714.50 : x
  2. Step 2: Convert to fraction form
    427,258.10/640,923.74 = 111,714.50/x
  3. Step 3: Cross multiply
    427,258.10x = 640,923.74 × 111,714.50
  4. Step 4: Simplify right side
    427,258.10x = 71,600,475,152.23
  5. Step 5: Solve for x
    x = 71,600,475,152.23/427,258.10
  6. Step 6: Final answer
    x = 167,581.32

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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.