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Finding the Fourth Proportional to 402,146.55, 603,219.56 and 102,627.23

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Solution

The fourth proportional to 402,146.55, 603,219.56 and 102,627.23 is: 153,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,146.55 : 603,219.56 = 102,627.23 : x
  2. Step 2: Convert to fraction form
    402,146.55/603,219.56 = 102,627.23/x
  3. Step 3: Cross multiply
    402,146.55x = 603,219.56 × 102,627.23
  4. Step 4: Simplify right side
    402,146.55x = 61,906,748,995.38
  5. Step 5: Solve for x
    x = 61,906,748,995.38/402,146.55
  6. Step 6: Final answer
    x = 153,940.77

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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.