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Finding the Fourth Proportional to 434,626.80, 651,940.20 and 420,111.60

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Solution

The fourth proportional to 434,626.80, 651,940.20 and 420,111.60 is: 630,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,626.80 : 651,940.20 = 420,111.60 : x
  2. Step 2: Convert to fraction form
    434,626.80/651,940.20 = 420,111.60/x
  3. Step 3: Cross multiply
    434,626.80x = 651,940.20 × 420,111.60
  4. Step 4: Simplify right side
    434,626.80x = 273,887,640,526.32
  5. Step 5: Solve for x
    x = 273,887,640,526.32/434,626.80
  6. Step 6: Final answer
    x = 630,167.40

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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.