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Finding the Fourth Proportional to 312,782.02, 431,639.91 and 169,541.41

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Solution

The fourth proportional to 312,782.02, 431,639.91 and 169,541.41 is: 233,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,782.02 : 431,639.91 = 169,541.41 : x
  2. Step 2: Convert to fraction form
    312,782.02/431,639.91 = 169,541.41/x
  3. Step 3: Cross multiply
    312,782.02x = 431,639.91 × 169,541.41
  4. Step 4: Simplify right side
    312,782.02x = 73,180,838,953.67
  5. Step 5: Solve for x
    x = 73,180,838,953.67/312,782.02
  6. Step 6: Final answer
    x = 233,967.54

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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.