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Finding the Fourth Proportional to 460,085.59, 689,894.97 and 210,553.75

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Solution

The fourth proportional to 460,085.59, 689,894.97 and 210,553.75 is: 315,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,085.59 : 689,894.97 = 210,553.75 : x
  2. Step 2: Convert to fraction form
    460,085.59/689,894.97 = 210,553.75/x
  3. Step 3: Cross multiply
    460,085.59x = 689,894.97 × 210,553.75
  4. Step 4: Simplify right side
    460,085.59x = 145,259,973,039.64
  5. Step 5: Solve for x
    x = 145,259,973,039.64/460,085.59
  6. Step 6: Final answer
    x = 315,723.80

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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.