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Finding the Fourth Proportional to 449,046, 619,684.29 and 247,842

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Solution

The fourth proportional to 449,046, 619,684.29 and 247,842 is: 342,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,046 : 619,684.29 = 247,842 : x
  2. Step 2: Convert to fraction form
    449,046/619,684.29 = 247,842/x
  3. Step 3: Cross multiply
    449,046x = 619,684.29 × 247,842
  4. Step 4: Simplify right side
    449,046x = 153,583,793,802.18
  5. Step 5: Solve for x
    x = 153,583,793,802.18/449,046
  6. Step 6: Final answer
    x = 342,022.41

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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.