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Finding the Fourth Proportional to 660,162, 911,024.64 and 358,356

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Solution

The fourth proportional to 660,162, 911,024.64 and 358,356 is: 494,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,162 : 911,024.64 = 358,356 : x
  2. Step 2: Convert to fraction form
    660,162/911,024.64 = 358,356/x
  3. Step 3: Cross multiply
    660,162x = 911,024.64 × 358,356
  4. Step 4: Simplify right side
    660,162x = 326,471,145,891.84
  5. Step 5: Solve for x
    x = 326,471,145,891.84/660,162
  6. Step 6: Final answer
    x = 494,531.87

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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.