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Finding the Fourth Proportional to 432,056.80, 648,085.20 and 299,087.20

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Solution

The fourth proportional to 432,056.80, 648,085.20 and 299,087.20 is: 448,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,056.80 : 648,085.20 = 299,087.20 : x
  2. Step 2: Convert to fraction form
    432,056.80/648,085.20 = 299,087.20/x
  3. Step 3: Cross multiply
    432,056.80x = 648,085.20 × 299,087.20
  4. Step 4: Simplify right side
    432,056.80x = 193,833,987,829.44
  5. Step 5: Solve for x
    x = 193,833,987,829.44/432,056.80
  6. Step 6: Final answer
    x = 448,630.80

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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.