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Finding the Fourth Proportional to 714,093.66, 985,449.22 and 408,176.64

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Solution

The fourth proportional to 714,093.66, 985,449.22 and 408,176.64 is: 563,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,093.66 : 985,449.22 = 408,176.64 : x
  2. Step 2: Convert to fraction form
    714,093.66/985,449.22 = 408,176.64/x
  3. Step 3: Cross multiply
    714,093.66x = 985,449.22 × 408,176.64
  4. Step 4: Simplify right side
    714,093.66x = 402,237,351,510.22
  5. Step 5: Solve for x
    x = 402,237,351,510.22/714,093.66
  6. Step 6: Final answer
    x = 563,283.75

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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.