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Finding the Fourth Proportional to 432,083.20, 648,124.80 and 325,638.40

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Solution

The fourth proportional to 432,083.20, 648,124.80 and 325,638.40 is: 488,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,083.20 : 648,124.80 = 325,638.40 : x
  2. Step 2: Convert to fraction form
    432,083.20/648,124.80 = 325,638.40/x
  3. Step 3: Cross multiply
    432,083.20x = 648,124.80 × 325,638.40
  4. Step 4: Simplify right side
    432,083.20x = 211,054,322,872.32
  5. Step 5: Solve for x
    x = 211,054,322,872.32/432,083.20
  6. Step 6: Final answer
    x = 488,457.60

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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.