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Finding the Fourth Proportional to 380,606.31, 525,292.65 and 219,429.86

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Solution

The fourth proportional to 380,606.31, 525,292.65 and 219,429.86 is: 302,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,606.31 : 525,292.65 = 219,429.86 : x
  2. Step 2: Convert to fraction form
    380,606.31/525,292.65 = 219,429.86/x
  3. Step 3: Cross multiply
    380,606.31x = 525,292.65 × 219,429.86
  4. Step 4: Simplify right side
    380,606.31x = 115,264,890,022.07
  5. Step 5: Solve for x
    x = 115,264,890,022.07/380,606.31
  6. Step 6: Final answer
    x = 302,845.45

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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.