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Finding the Fourth Proportional to 469,846.17, 648,498.96 and 278,969.67

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Solution

The fourth proportional to 469,846.17, 648,498.96 and 278,969.67 is: 385,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,846.17 : 648,498.96 = 278,969.67 : x
  2. Step 2: Convert to fraction form
    469,846.17/648,498.96 = 278,969.67/x
  3. Step 3: Cross multiply
    469,846.17x = 648,498.96 × 278,969.67
  4. Step 4: Simplify right side
    469,846.17x = 180,911,540,866.54
  5. Step 5: Solve for x
    x = 180,911,540,866.54/469,846.17
  6. Step 6: Final answer
    x = 385,044.20

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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.