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Finding the Fourth Proportional to 434,447.20, 651,638.40 and 181,662.40

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Solution

The fourth proportional to 434,447.20, 651,638.40 and 181,662.40 is: 272,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,447.20 : 651,638.40 = 181,662.40 : x
  2. Step 2: Convert to fraction form
    434,447.20/651,638.40 = 181,662.40/x
  3. Step 3: Cross multiply
    434,447.20x = 651,638.40 × 181,662.40
  4. Step 4: Simplify right side
    434,447.20x = 118,378,195,676.16
  5. Step 5: Solve for x
    x = 118,378,195,676.16/434,447.20
  6. Step 6: Final answer
    x = 272,480.05

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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.