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Finding the Fourth Proportional to 312,190.24, 430,823.90 and 168,950.30

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Solution

The fourth proportional to 312,190.24, 430,823.90 and 168,950.30 is: 233,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190.24 : 430,823.90 = 168,950.30 : x
  2. Step 2: Convert to fraction form
    312,190.24/430,823.90 = 168,950.30/x
  3. Step 3: Cross multiply
    312,190.24x = 430,823.90 × 168,950.30
  4. Step 4: Simplify right side
    312,190.24x = 72,787,827,152.17
  5. Step 5: Solve for x
    x = 72,787,827,152.17/312,190.24
  6. Step 6: Final answer
    x = 233,152.15

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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.