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Finding the Fourth Proportional to 312,333.76, 431,017.60 and 169,090.08

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Solution

The fourth proportional to 312,333.76, 431,017.60 and 169,090.08 is: 233,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,333.76 : 431,017.60 = 169,090.08 : x
  2. Step 2: Convert to fraction form
    312,333.76/431,017.60 = 169,090.08/x
  3. Step 3: Cross multiply
    312,333.76x = 431,017.60 × 169,090.08
  4. Step 4: Simplify right side
    312,333.76x = 72,880,800,465.41
  5. Step 5: Solve for x
    x = 72,880,800,465.41/312,333.76
  6. Step 6: Final answer
    x = 233,342.69

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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.