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Finding the Fourth Proportional to 210,329.80, 314,880.30 and 188,211.40

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Solution

The fourth proportional to 210,329.80, 314,880.30 and 188,211.40 is: 281,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,329.80 : 314,880.30 = 188,211.40 : x
  2. Step 2: Convert to fraction form
    210,329.80/314,880.30 = 188,211.40/x
  3. Step 3: Cross multiply
    210,329.80x = 314,880.30 × 188,211.40
  4. Step 4: Simplify right side
    210,329.80x = 59,264,062,095.42
  5. Step 5: Solve for x
    x = 59,264,062,095.42/210,329.80
  6. Step 6: Final answer
    x = 281,767.31

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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.