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Finding the Fourth Proportional to 469,345.02, 647,689.87 and 254,480.47

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Solution

The fourth proportional to 469,345.02, 647,689.87 and 254,480.47 is: 351,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,345.02 : 647,689.87 = 254,480.47 : x
  2. Step 2: Convert to fraction form
    469,345.02/647,689.87 = 254,480.47/x
  3. Step 3: Cross multiply
    469,345.02x = 647,689.87 × 254,480.47
  4. Step 4: Simplify right side
    469,345.02x = 164,824,421,230.72
  5. Step 5: Solve for x
    x = 164,824,421,230.72/469,345.02
  6. Step 6: Final answer
    x = 351,179.66

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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.