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Finding the Fourth Proportional to 312,395.94, 431,103.06 and 169,153.92

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Solution

The fourth proportional to 312,395.94, 431,103.06 and 169,153.92 is: 233,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,395.94 : 431,103.06 = 169,153.92 : x
  2. Step 2: Convert to fraction form
    312,395.94/431,103.06 = 169,153.92/x
  3. Step 3: Cross multiply
    312,395.94x = 431,103.06 × 169,153.92
  4. Step 4: Simplify right side
    312,395.94x = 72,922,772,523.00
  5. Step 5: Solve for x
    x = 72,922,772,523.00/312,395.94
  6. Step 6: Final answer
    x = 233,430.60

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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.