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Finding the Fourth Proportional to 315,333.84, 435,081.96 and 202,309.68

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Solution

The fourth proportional to 315,333.84, 435,081.96 and 202,309.68 is: 279,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,333.84 : 435,081.96 = 202,309.68 : x
  2. Step 2: Convert to fraction form
    315,333.84/435,081.96 = 202,309.68/x
  3. Step 3: Cross multiply
    315,333.84x = 435,081.96 × 202,309.68
  4. Step 4: Simplify right side
    315,333.84x = 88,021,292,101.37
  5. Step 5: Solve for x
    x = 88,021,292,101.37/315,333.84
  6. Step 6: Final answer
    x = 279,136.84

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1.5x scale

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.