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Finding the Fourth Proportional to 377,710.40, 565,399.20 and 219,468.80

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Solution

The fourth proportional to 377,710.40, 565,399.20 and 219,468.80 is: 328,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,710.40 : 565,399.20 = 219,468.80 : x
  2. Step 2: Convert to fraction form
    377,710.40/565,399.20 = 219,468.80/x
  3. Step 3: Cross multiply
    377,710.40x = 565,399.20 × 219,468.80
  4. Step 4: Simplify right side
    377,710.40x = 124,087,483,944.96
  5. Step 5: Solve for x
    x = 124,087,483,944.96/377,710.40
  6. Step 6: Final answer
    x = 328,525.46

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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.