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Finding the Fourth Proportional to 299,531.07, 412,650.39 and 208,722.24

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Solution

The fourth proportional to 299,531.07, 412,650.39 and 208,722.24 is: 287,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,531.07 : 412,650.39 = 208,722.24 : x
  2. Step 2: Convert to fraction form
    299,531.07/412,650.39 = 208,722.24/x
  3. Step 3: Cross multiply
    299,531.07x = 412,650.39 × 208,722.24
  4. Step 4: Simplify right side
    299,531.07x = 86,129,313,737.67
  5. Step 5: Solve for x
    x = 86,129,313,737.67/299,531.07
  6. Step 6: Final answer
    x = 287,547.18

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1.5x scale

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.