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Finding the Fourth Proportional to 377,665.74, 565,964.62 and 209,263.10

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Solution

The fourth proportional to 377,665.74, 565,964.62 and 209,263.10 is: 313,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,665.74 : 565,964.62 = 209,263.10 : x
  2. Step 2: Convert to fraction form
    377,665.74/565,964.62 = 209,263.10/x
  3. Step 3: Cross multiply
    377,665.74x = 565,964.62 × 209,263.10
  4. Step 4: Simplify right side
    377,665.74x = 118,435,507,518.54
  5. Step 5: Solve for x
    x = 118,435,507,518.54/377,665.74
  6. Step 6: Final answer
    x = 313,598.76

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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.