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Finding the Fourth Proportional to 469,148.78, 647,409.56 and 278,048.72

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Solution

The fourth proportional to 469,148.78, 647,409.56 and 278,048.72 is: 383,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,148.78 : 647,409.56 = 278,048.72 : x
  2. Step 2: Convert to fraction form
    469,148.78/647,409.56 = 278,048.72/x
  3. Step 3: Cross multiply
    469,148.78x = 647,409.56 × 278,048.72
  4. Step 4: Simplify right side
    469,148.78x = 180,011,399,473.76
  5. Step 5: Solve for x
    x = 180,011,399,473.76/469,148.78
  6. Step 6: Final answer
    x = 383,697.90

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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.