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Finding the Fourth Proportional to 431,818.75, 646,860.66 and 215,024.35

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Solution

The fourth proportional to 431,818.75, 646,860.66 and 215,024.35 is: 322,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,818.75 : 646,860.66 = 215,024.35 : x
  2. Step 2: Convert to fraction form
    431,818.75/646,860.66 = 215,024.35/x
  3. Step 3: Cross multiply
    431,818.75x = 646,860.66 × 215,024.35
  4. Step 4: Simplify right side
    431,818.75x = 139,090,791,339.92
  5. Step 5: Solve for x
    x = 139,090,791,339.92/431,818.75
  6. Step 6: Final answer
    x = 322,104.57

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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.