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Finding the Fourth Proportional to 417,561.43, 626,336.67 and 102,021.07

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Solution

The fourth proportional to 417,561.43, 626,336.67 and 102,021.07 is: 153,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,561.43 : 626,336.67 = 102,021.07 : x
  2. Step 2: Convert to fraction form
    417,561.43/626,336.67 = 102,021.07/x
  3. Step 3: Cross multiply
    417,561.43x = 626,336.67 × 102,021.07
  4. Step 4: Simplify right side
    417,561.43x = 63,899,534,121.95
  5. Step 5: Solve for x
    x = 63,899,534,121.95/417,561.43
  6. Step 6: Final answer
    x = 153,030.26

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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.