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Finding the Fourth Proportional to 611,045.22, 916,349.12 and 211,578.74

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Solution

The fourth proportional to 611,045.22, 916,349.12 and 211,578.74 is: 317,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,045.22 : 916,349.12 = 211,578.74 : x
  2. Step 2: Convert to fraction form
    611,045.22/916,349.12 = 211,578.74/x
  3. Step 3: Cross multiply
    611,045.22x = 916,349.12 × 211,578.74
  4. Step 4: Simplify right side
    611,045.22x = 193,879,992,209.71
  5. Step 5: Solve for x
    x = 193,879,992,209.71/611,045.22
  6. Step 6: Final answer
    x = 317,292.38

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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.