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Finding the Fourth Proportional to 452,719.84, 678,146.64 and 265,162.72

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Solution

The fourth proportional to 452,719.84, 678,146.64 and 265,162.72 is: 397,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,719.84 : 678,146.64 = 265,162.72 : x
  2. Step 2: Convert to fraction form
    452,719.84/678,146.64 = 265,162.72/x
  3. Step 3: Cross multiply
    452,719.84x = 678,146.64 × 265,162.72
  4. Step 4: Simplify right side
    452,719.84x = 179,819,207,621.26
  5. Step 5: Solve for x
    x = 179,819,207,621.26/452,719.84
  6. Step 6: Final answer
    x = 397,197.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.