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Finding the Fourth Proportional to 432,128.40, 648,192.60 and 290,410.80

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Solution

The fourth proportional to 432,128.40, 648,192.60 and 290,410.80 is: 435,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,128.40 : 648,192.60 = 290,410.80 : x
  2. Step 2: Convert to fraction form
    432,128.40/648,192.60 = 290,410.80/x
  3. Step 3: Cross multiply
    432,128.40x = 648,192.60 × 290,410.80
  4. Step 4: Simplify right side
    432,128.40x = 188,242,131,520.08
  5. Step 5: Solve for x
    x = 188,242,131,520.08/432,128.40
  6. Step 6: Final answer
    x = 435,616.20

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1.5x scale

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.