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Finding the Fourth Proportional to 434,740.20, 651,891.60 and 257,301.60

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Solution

The fourth proportional to 434,740.20, 651,891.60 and 257,301.60 is: 385,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,740.20 : 651,891.60 = 257,301.60 : x
  2. Step 2: Convert to fraction form
    434,740.20/651,891.60 = 257,301.60/x
  3. Step 3: Cross multiply
    434,740.20x = 651,891.60 × 257,301.60
  4. Step 4: Simplify right side
    434,740.20x = 167,732,751,706.56
  5. Step 5: Solve for x
    x = 167,732,751,706.56/434,740.20
  6. Step 6: Final answer
    x = 385,822.96

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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.