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Finding the Fourth Proportional to 553,376.40, 830,064.60 and 454,961.40

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Solution

The fourth proportional to 553,376.40, 830,064.60 and 454,961.40 is: 682,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,376.40 : 830,064.60 = 454,961.40 : x
  2. Step 2: Convert to fraction form
    553,376.40/830,064.60 = 454,961.40/x
  3. Step 3: Cross multiply
    553,376.40x = 830,064.60 × 454,961.40
  4. Step 4: Simplify right side
    553,376.40x = 377,647,352,506.44
  5. Step 5: Solve for x
    x = 377,647,352,506.44/553,376.40
  6. Step 6: Final answer
    x = 682,442.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.