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Finding the Fourth Proportional to 614,978.20, 922,467.30 and 300,050.20

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Solution

The fourth proportional to 614,978.20, 922,467.30 and 300,050.20 is: 450,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,978.20 : 922,467.30 = 300,050.20 : x
  2. Step 2: Convert to fraction form
    614,978.20/922,467.30 = 300,050.20/x
  3. Step 3: Cross multiply
    614,978.20x = 922,467.30 × 300,050.20
  4. Step 4: Simplify right side
    614,978.20x = 276,786,497,858.46
  5. Step 5: Solve for x
    x = 276,786,497,858.46/614,978.20
  6. Step 6: Final answer
    x = 450,075.30

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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.