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Finding the Fourth Proportional to 434,685, 599,172.46 and 342,654.32

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Solution

The fourth proportional to 434,685, 599,172.46 and 342,654.32 is: 472,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,685 : 599,172.46 = 342,654.32 : x
  2. Step 2: Convert to fraction form
    434,685/599,172.46 = 342,654.32/x
  3. Step 3: Cross multiply
    434,685x = 599,172.46 × 342,654.32
  4. Step 4: Simplify right side
    434,685x = 205,309,031,844.03
  5. Step 5: Solve for x
    x = 205,309,031,844.03/434,685
  6. Step 6: Final answer
    x = 472,316.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.