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Finding the Fourth Proportional to 377,219.52, 565,477.74 and 258,946.56

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Solution

The fourth proportional to 377,219.52, 565,477.74 and 258,946.56 is: 388,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,219.52 : 565,477.74 = 258,946.56 : x
  2. Step 2: Convert to fraction form
    377,219.52/565,477.74 = 258,946.56/x
  3. Step 3: Cross multiply
    377,219.52x = 565,477.74 × 258,946.56
  4. Step 4: Simplify right side
    377,219.52x = 146,428,515,529.57
  5. Step 5: Solve for x
    x = 146,428,515,529.57/377,219.52
  6. Step 6: Final answer
    x = 388,178.52

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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.