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Finding the Fourth Proportional to 417,911.52, 626,847.84 and 102,351.72

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Solution

The fourth proportional to 417,911.52, 626,847.84 and 102,351.72 is: 153,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,911.52 : 626,847.84 = 102,351.72 : x
  2. Step 2: Convert to fraction form
    417,911.52/626,847.84 = 102,351.72/x
  3. Step 3: Cross multiply
    417,911.52x = 626,847.84 × 102,351.72
  4. Step 4: Simplify right side
    417,911.52x = 64,158,954,602.28
  5. Step 5: Solve for x
    x = 64,158,954,602.28/417,911.52
  6. Step 6: Final answer
    x = 153,522.82

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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.