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Finding the Fourth Proportional to 460,508.88, 689,999.64 and 280,048.40

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Solution

The fourth proportional to 460,508.88, 689,999.64 and 280,048.40 is: 419,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,508.88 : 689,999.64 = 280,048.40 : x
  2. Step 2: Convert to fraction form
    460,508.88/689,999.64 = 280,048.40/x
  3. Step 3: Cross multiply
    460,508.88x = 689,999.64 × 280,048.40
  4. Step 4: Simplify right side
    460,508.88x = 193,233,295,182.58
  5. Step 5: Solve for x
    x = 193,233,295,182.58/460,508.88
  6. Step 6: Final answer
    x = 419,608.18

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1.5x scale

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.