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Finding the Fourth Proportional to 460,430.84, 635,492.58 and 309,440.36

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Solution

The fourth proportional to 460,430.84, 635,492.58 and 309,440.36 is: 427,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,430.84 : 635,492.58 = 309,440.36 : x
  2. Step 2: Convert to fraction form
    460,430.84/635,492.58 = 309,440.36/x
  3. Step 3: Cross multiply
    460,430.84x = 635,492.58 × 309,440.36
  4. Step 4: Simplify right side
    460,430.84x = 196,647,052,732.53
  5. Step 5: Solve for x
    x = 196,647,052,732.53/460,430.84
  6. Step 6: Final answer
    x = 427,093.57

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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.