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Finding the Fourth Proportional to 427,518.90, 640,877.40 and 161,458.20

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Solution

The fourth proportional to 427,518.90, 640,877.40 and 161,458.20 is: 242,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,518.90 : 640,877.40 = 161,458.20 : x
  2. Step 2: Convert to fraction form
    427,518.90/640,877.40 = 161,458.20/x
  3. Step 3: Cross multiply
    427,518.90x = 640,877.40 × 161,458.20
  4. Step 4: Simplify right side
    427,518.90x = 103,474,911,424.68
  5. Step 5: Solve for x
    x = 103,474,911,424.68/427,518.90
  6. Step 6: Final answer
    x = 242,035.88

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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.