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Finding the Fourth Proportional to 684,858.32, 945,053.16 and 382,994

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Solution

The fourth proportional to 684,858.32, 945,053.16 and 382,994 is: 528,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,858.32 : 945,053.16 = 382,994 : x
  2. Step 2: Convert to fraction form
    684,858.32/945,053.16 = 382,994/x
  3. Step 3: Cross multiply
    684,858.32x = 945,053.16 × 382,994
  4. Step 4: Simplify right side
    684,858.32x = 361,949,689,961.04
  5. Step 5: Solve for x
    x = 361,949,689,961.04/684,858.32
  6. Step 6: Final answer
    x = 528,503.02

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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.