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Finding the Fourth Proportional to 687,518.46, 948,949.88 and 469,815.30

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Solution

The fourth proportional to 687,518.46, 948,949.88 and 469,815.30 is: 648,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,518.46 : 948,949.88 = 469,815.30 : x
  2. Step 2: Convert to fraction form
    687,518.46/948,949.88 = 469,815.30/x
  3. Step 3: Cross multiply
    687,518.46x = 948,949.88 × 469,815.30
  4. Step 4: Simplify right side
    687,518.46x = 445,831,170,208.09
  5. Step 5: Solve for x
    x = 445,831,170,208.09/687,518.46
  6. Step 6: Final answer
    x = 648,464.29

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1.5x scale

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.