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Finding the Fourth Proportional to 434,807, 599,730.12 and 420,176

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Solution

The fourth proportional to 434,807, 599,730.12 and 420,176 is: 579,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,807 : 599,730.12 = 420,176 : x
  2. Step 2: Convert to fraction form
    434,807/599,730.12 = 420,176/x
  3. Step 3: Cross multiply
    434,807x = 599,730.12 × 420,176
  4. Step 4: Simplify right side
    434,807x = 251,992,202,901.12
  5. Step 5: Solve for x
    x = 251,992,202,901.12/434,807
  6. Step 6: Final answer
    x = 579,549.55

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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.