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Finding the Fourth Proportional to 380,877.48, 525,592.80 and 219,784.32

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Solution

The fourth proportional to 380,877.48, 525,592.80 and 219,784.32 is: 303,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,877.48 : 525,592.80 = 219,784.32 : x
  2. Step 2: Convert to fraction form
    380,877.48/525,592.80 = 219,784.32/x
  3. Step 3: Cross multiply
    380,877.48x = 525,592.80 × 219,784.32
  4. Step 4: Simplify right side
    380,877.48x = 115,517,056,144.90
  5. Step 5: Solve for x
    x = 115,517,056,144.90/380,877.48
  6. Step 6: Final answer
    x = 303,291.90

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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.