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Finding the Fourth Proportional to 378,353.84, 521,832.92 and 242,400.33

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Solution

The fourth proportional to 378,353.84, 521,832.92 and 242,400.33 is: 334,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,353.84 : 521,832.92 = 242,400.33 : x
  2. Step 2: Convert to fraction form
    378,353.84/521,832.92 = 242,400.33/x
  3. Step 3: Cross multiply
    378,353.84x = 521,832.92 × 242,400.33
  4. Step 4: Simplify right side
    378,353.84x = 126,492,470,800.86
  5. Step 5: Solve for x
    x = 126,492,470,800.86/378,353.84
  6. Step 6: Final answer
    x = 334,323.22

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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.