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Finding the Fourth Proportional to 653,316, 979,974 and 210,084

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Solution

The fourth proportional to 653,316, 979,974 and 210,084 is: 315,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,316 : 979,974 = 210,084 : x
  2. Step 2: Convert to fraction form
    653,316/979,974 = 210,084/x
  3. Step 3: Cross multiply
    653,316x = 979,974 × 210,084
  4. Step 4: Simplify right side
    653,316x = 205,876,857,816
  5. Step 5: Solve for x
    x = 205,876,857,816/653,316
  6. Step 6: Final answer
    x = 315,126

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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.