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Finding the Fourth Proportional to 380,272.86, 524,783.61 and 219,100.68

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Solution

The fourth proportional to 380,272.86, 524,783.61 and 219,100.68 is: 302,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,272.86 : 524,783.61 = 219,100.68 : x
  2. Step 2: Convert to fraction form
    380,272.86/524,783.61 = 219,100.68/x
  3. Step 3: Cross multiply
    380,272.86x = 524,783.61 × 219,100.68
  4. Step 4: Simplify right side
    380,272.86x = 114,980,445,803.86
  5. Step 5: Solve for x
    x = 114,980,445,803.86/380,272.86
  6. Step 6: Final answer
    x = 302,363.01

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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.