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Finding the Fourth Proportional to 651,840.20, 978,197.70 and 385,317.80

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Solution

The fourth proportional to 651,840.20, 978,197.70 and 385,317.80 is: 578,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,840.20 : 978,197.70 = 385,317.80 : x
  2. Step 2: Convert to fraction form
    651,840.20/978,197.70 = 385,317.80/x
  3. Step 3: Cross multiply
    651,840.20x = 978,197.70 × 385,317.80
  4. Step 4: Simplify right side
    651,840.20x = 376,916,985,729.06
  5. Step 5: Solve for x
    x = 376,916,985,729.06/651,840.20
  6. Step 6: Final answer
    x = 578,235.26

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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.