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Finding the Fourth Proportional to 469,482.72, 647,826.60 and 278,458.80

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Solution

The fourth proportional to 469,482.72, 647,826.60 and 278,458.80 is: 384,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,482.72 : 647,826.60 = 278,458.80 : x
  2. Step 2: Convert to fraction form
    469,482.72/647,826.60 = 278,458.80/x
  3. Step 3: Cross multiply
    469,482.72x = 647,826.60 × 278,458.80
  4. Step 4: Simplify right side
    469,482.72x = 180,393,017,644.08
  5. Step 5: Solve for x
    x = 180,393,017,644.08/469,482.72
  6. Step 6: Final answer
    x = 384,237.82

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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.