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Finding the Fourth Proportional to 434,803, 599,724.60 and 420,172

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Solution

The fourth proportional to 434,803, 599,724.60 and 420,172 is: 579,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,803 : 599,724.60 = 420,172 : x
  2. Step 2: Convert to fraction form
    434,803/599,724.60 = 420,172/x
  3. Step 3: Cross multiply
    434,803x = 599,724.60 × 420,172
  4. Step 4: Simplify right side
    434,803x = 251,987,484,631.20
  5. Step 5: Solve for x
    x = 251,987,484,631.20/434,803
  6. Step 6: Final answer
    x = 579,544.03

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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.