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Finding the Fourth Proportional to 379,740.84, 524,041 and 214,155.64

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Solution

The fourth proportional to 379,740.84, 524,041 and 214,155.64 is: 295,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,740.84 : 524,041 = 214,155.64 : x
  2. Step 2: Convert to fraction form
    379,740.84/524,041 = 214,155.64/x
  3. Step 3: Cross multiply
    379,740.84x = 524,041 × 214,155.64
  4. Step 4: Simplify right side
    379,740.84x = 112,226,335,741.24
  5. Step 5: Solve for x
    x = 112,226,335,741.24/379,740.84
  6. Step 6: Final answer
    x = 295,534.02

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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.