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Finding the Fourth Proportional to 460,026.80, 690,072.60 and 260,442.80

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Solution

The fourth proportional to 460,026.80, 690,072.60 and 260,442.80 is: 390,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,026.80 : 690,072.60 = 260,442.80 : x
  2. Step 2: Convert to fraction form
    460,026.80/690,072.60 = 260,442.80/x
  3. Step 3: Cross multiply
    460,026.80x = 690,072.60 × 260,442.80
  4. Step 4: Simplify right side
    460,026.80x = 179,724,440,147.28
  5. Step 5: Solve for x
    x = 179,724,440,147.28/460,026.80
  6. Step 6: Final answer
    x = 390,682.54

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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.