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Finding the Fourth Proportional to 647,649.20, 970,161.60 and 366,838.40

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Solution

The fourth proportional to 647,649.20, 970,161.60 and 366,838.40 is: 549,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,649.20 : 970,161.60 = 366,838.40 : x
  2. Step 2: Convert to fraction form
    647,649.20/970,161.60 = 366,838.40/x
  3. Step 3: Cross multiply
    647,649.20x = 970,161.60 × 366,838.40
  4. Step 4: Simplify right side
    647,649.20x = 355,892,529,085.44
  5. Step 5: Solve for x
    x = 355,892,529,085.44/647,649.20
  6. Step 6: Final answer
    x = 549,514.35

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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.