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Finding the Fourth Proportional to 377,678.40, 565,205.40 and 259,580.40

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Solution

The fourth proportional to 377,678.40, 565,205.40 and 259,580.40 is: 388,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,678.40 : 565,205.40 = 259,580.40 : x
  2. Step 2: Convert to fraction form
    377,678.40/565,205.40 = 259,580.40/x
  3. Step 3: Cross multiply
    377,678.40x = 565,205.40 × 259,580.40
  4. Step 4: Simplify right side
    377,678.40x = 146,716,243,814.16
  5. Step 5: Solve for x
    x = 146,716,243,814.16/377,678.40
  6. Step 6: Final answer
    x = 388,468.72

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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.