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Finding the Fourth Proportional to 651,625.40, 978,312.90 and 416,012.60

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Solution

The fourth proportional to 651,625.40, 978,312.90 and 416,012.60 is: 624,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,625.40 : 978,312.90 = 416,012.60 : x
  2. Step 2: Convert to fraction form
    651,625.40/978,312.90 = 416,012.60/x
  3. Step 3: Cross multiply
    651,625.40x = 978,312.90 × 416,012.60
  4. Step 4: Simplify right side
    651,625.40x = 406,990,493,142.54
  5. Step 5: Solve for x
    x = 406,990,493,142.54/651,625.40
  6. Step 6: Final answer
    x = 624,577.39

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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.