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Finding the Fourth Proportional to 287,447.98, 430,845 and 174,880.06

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Solution

The fourth proportional to 287,447.98, 430,845 and 174,880.06 is: 262,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,447.98 : 430,845 = 174,880.06 : x
  2. Step 2: Convert to fraction form
    287,447.98/430,845 = 174,880.06/x
  3. Step 3: Cross multiply
    287,447.98x = 430,845 × 174,880.06
  4. Step 4: Simplify right side
    287,447.98x = 75,346,199,450.70
  5. Step 5: Solve for x
    x = 75,346,199,450.70/287,447.98
  6. Step 6: Final answer
    x = 262,121.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.