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Finding the Fourth Proportional to 311,692.59, 430,137.74 and 168,452.30

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Solution

The fourth proportional to 311,692.59, 430,137.74 and 168,452.30 is: 232,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692.59 : 430,137.74 = 168,452.30 : x
  2. Step 2: Convert to fraction form
    311,692.59/430,137.74 = 168,452.30/x
  3. Step 3: Cross multiply
    311,692.59x = 430,137.74 × 168,452.30
  4. Step 4: Simplify right side
    311,692.59x = 72,457,689,890.24
  5. Step 5: Solve for x
    x = 72,457,689,890.24/311,692.59
  6. Step 6: Final answer
    x = 232,465.23

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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.