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Finding the Fourth Proportional to 411,603.27, 617,515.74 and 211,814.75

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Solution

The fourth proportional to 411,603.27, 617,515.74 and 211,814.75 is: 317,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,603.27 : 617,515.74 = 211,814.75 : x
  2. Step 2: Convert to fraction form
    411,603.27/617,515.74 = 211,814.75/x
  3. Step 3: Cross multiply
    411,603.27x = 617,515.74 × 211,814.75
  4. Step 4: Simplify right side
    411,603.27x = 130,798,939,001.59
  5. Step 5: Solve for x
    x = 130,798,939,001.59/411,603.27
  6. Step 6: Final answer
    x = 317,779.15

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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.