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Finding the Fourth Proportional to 427,262.10, 640,929.74 and 111,718.50

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Solution

The fourth proportional to 427,262.10, 640,929.74 and 111,718.50 is: 167,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,262.10 : 640,929.74 = 111,718.50 : x
  2. Step 2: Convert to fraction form
    427,262.10/640,929.74 = 111,718.50/x
  3. Step 3: Cross multiply
    427,262.10x = 640,929.74 × 111,718.50
  4. Step 4: Simplify right side
    427,262.10x = 71,603,708,599.60
  5. Step 5: Solve for x
    x = 71,603,708,599.60/427,262.10
  6. Step 6: Final answer
    x = 167,587.32

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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.