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Finding the Fourth Proportional to 202,880.99, 304,262 and 76,430

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Solution

The fourth proportional to 202,880.99, 304,262 and 76,430 is: 114,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,880.99 : 304,262 = 76,430 : x
  2. Step 2: Convert to fraction form
    202,880.99/304,262 = 76,430/x
  3. Step 3: Cross multiply
    202,880.99x = 304,262 × 76,430
  4. Step 4: Simplify right side
    202,880.99x = 23,254,744,660
  5. Step 5: Solve for x
    x = 23,254,744,660/202,880.99
  6. Step 6: Final answer
    x = 114,622.59

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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.