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Finding the Fourth Proportional to 465,755.37, 642,810.47 and 261,823.08

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Solution

The fourth proportional to 465,755.37, 642,810.47 and 261,823.08 is: 361,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,755.37 : 642,810.47 = 261,823.08 : x
  2. Step 2: Convert to fraction form
    465,755.37/642,810.47 = 261,823.08/x
  3. Step 3: Cross multiply
    465,755.37x = 642,810.47 × 261,823.08
  4. Step 4: Simplify right side
    465,755.37x = 168,302,615,802.53
  5. Step 5: Solve for x
    x = 168,302,615,802.53/465,755.37
  6. Step 6: Final answer
    x = 361,354.11

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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.