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Finding the Fourth Proportional to 684,852, 945,099 and 383,046

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Solution

The fourth proportional to 684,852, 945,099 and 383,046 is: 528,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,852 : 945,099 = 383,046 : x
  2. Step 2: Convert to fraction form
    684,852/945,099 = 383,046/x
  3. Step 3: Cross multiply
    684,852x = 945,099 × 383,046
  4. Step 4: Simplify right side
    684,852x = 362,016,391,554
  5. Step 5: Solve for x
    x = 362,016,391,554/684,852
  6. Step 6: Final answer
    x = 528,605.29

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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.