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Finding the Fourth Proportional to 651,893.20, 978,415.80 and 385,320.40

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Solution

The fourth proportional to 651,893.20, 978,415.80 and 385,320.40 is: 578,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,893.20 : 978,415.80 = 385,320.40 : x
  2. Step 2: Convert to fraction form
    651,893.20/978,415.80 = 385,320.40/x
  3. Step 3: Cross multiply
    651,893.20x = 978,415.80 × 385,320.40
  4. Step 4: Simplify right side
    651,893.20x = 377,003,567,422.32
  5. Step 5: Solve for x
    x = 377,003,567,422.32/651,893.20
  6. Step 6: Final answer
    x = 578,321.06

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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.