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Finding the Fourth Proportional to 312,328.63, 431,015.73 and 169,089.04

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Solution

The fourth proportional to 312,328.63, 431,015.73 and 169,089.04 is: 233,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,328.63 : 431,015.73 = 169,089.04 : x
  2. Step 2: Convert to fraction form
    312,328.63/431,015.73 = 169,089.04/x
  3. Step 3: Cross multiply
    312,328.63x = 431,015.73 × 169,089.04
  4. Step 4: Simplify right side
    312,328.63x = 72,880,033,855.52
  5. Step 5: Solve for x
    x = 72,880,033,855.52/312,328.63
  6. Step 6: Final answer
    x = 233,344.07

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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.