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Finding the Fourth Proportional to 432,321.95, 648,878.45 and 219,236.93

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Solution

The fourth proportional to 432,321.95, 648,878.45 and 219,236.93 is: 329,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,321.95 : 648,878.45 = 219,236.93 : x
  2. Step 2: Convert to fraction form
    432,321.95/648,878.45 = 219,236.93/x
  3. Step 3: Cross multiply
    432,321.95x = 648,878.45 × 219,236.93
  4. Step 4: Simplify right side
    432,321.95x = 142,258,118,224.97
  5. Step 5: Solve for x
    x = 142,258,118,224.97/432,321.95
  6. Step 6: Final answer
    x = 329,055.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.