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Finding the Fourth Proportional to 300,039.68, 413,678.40 and 192,419.84

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Solution

The fourth proportional to 300,039.68, 413,678.40 and 192,419.84 is: 265,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,039.68 : 413,678.40 = 192,419.84 : x
  2. Step 2: Convert to fraction form
    300,039.68/413,678.40 = 192,419.84/x
  3. Step 3: Cross multiply
    300,039.68x = 413,678.40 × 192,419.84
  4. Step 4: Simplify right side
    300,039.68x = 79,599,931,539.46
  5. Step 5: Solve for x
    x = 79,599,931,539.46/300,039.68
  6. Step 6: Final answer
    x = 265,298.02

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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.