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Finding the Fourth Proportional to 642,980.24, 886,906.07 and 413,142.51

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Solution

The fourth proportional to 642,980.24, 886,906.07 and 413,142.51 is: 569,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,980.24 : 886,906.07 = 413,142.51 : x
  2. Step 2: Convert to fraction form
    642,980.24/886,906.07 = 413,142.51/x
  3. Step 3: Cross multiply
    642,980.24x = 886,906.07 × 413,142.51
  4. Step 4: Simplify right side
    642,980.24x = 366,418,599,894.04
  5. Step 5: Solve for x
    x = 366,418,599,894.04/642,980.24
  6. Step 6: Final answer
    x = 569,875.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.