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Finding the Fourth Proportional to 684,838, 945,079.68 and 383,032

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Solution

The fourth proportional to 684,838, 945,079.68 and 383,032 is: 528,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,838 : 945,079.68 = 383,032 : x
  2. Step 2: Convert to fraction form
    684,838/945,079.68 = 383,032/x
  3. Step 3: Cross multiply
    684,838x = 945,079.68 × 383,032
  4. Step 4: Simplify right side
    684,838x = 361,995,759,989.76
  5. Step 5: Solve for x
    x = 361,995,759,989.76/684,838
  6. Step 6: Final answer
    x = 528,585.97

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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.