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Finding the Fourth Proportional to 398,121, 597,181.50 and 102,633

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Solution

The fourth proportional to 398,121, 597,181.50 and 102,633 is: 153,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,121 : 597,181.50 = 102,633 : x
  2. Step 2: Convert to fraction form
    398,121/597,181.50 = 102,633/x
  3. Step 3: Cross multiply
    398,121x = 597,181.50 × 102,633
  4. Step 4: Simplify right side
    398,121x = 61,290,528,889.50
  5. Step 5: Solve for x
    x = 61,290,528,889.50/398,121
  6. Step 6: Final answer
    x = 153,949.50

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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.