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Finding the Fourth Proportional to 459,950.78, 634,653.10 and 422,745.23

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Solution

The fourth proportional to 459,950.78, 634,653.10 and 422,745.23 is: 583,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,950.78 : 634,653.10 = 422,745.23 : x
  2. Step 2: Convert to fraction form
    459,950.78/634,653.10 = 422,745.23/x
  3. Step 3: Cross multiply
    459,950.78x = 634,653.10 × 422,745.23
  4. Step 4: Simplify right side
    459,950.78x = 268,296,570,729.71
  5. Step 5: Solve for x
    x = 268,296,570,729.71/459,950.78
  6. Step 6: Final answer
    x = 583,315.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.