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Finding the Fourth Proportional to 314,599.50, 434,147.31 and 180,506.70

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Solution

The fourth proportional to 314,599.50, 434,147.31 and 180,506.70 is: 249,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,599.50 : 434,147.31 = 180,506.70 : x
  2. Step 2: Convert to fraction form
    314,599.50/434,147.31 = 180,506.70/x
  3. Step 3: Cross multiply
    314,599.50x = 434,147.31 × 180,506.70
  4. Step 4: Simplify right side
    314,599.50x = 78,366,498,241.98
  5. Step 5: Solve for x
    x = 78,366,498,241.98/314,599.50
  6. Step 6: Final answer
    x = 249,099.25

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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.