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Finding the Fourth Proportional to 469,148.66, 647,409.40 and 278,048.60

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Solution

The fourth proportional to 469,148.66, 647,409.40 and 278,048.60 is: 383,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,148.66 : 647,409.40 = 278,048.60 : x
  2. Step 2: Convert to fraction form
    469,148.66/647,409.40 = 278,048.60/x
  3. Step 3: Cross multiply
    469,148.66x = 647,409.40 × 278,048.60
  4. Step 4: Simplify right side
    469,148.66x = 180,011,273,364.67
  5. Step 5: Solve for x
    x = 180,011,273,364.67/469,148.66
  6. Step 6: Final answer
    x = 383,697.73

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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.