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Finding the Fourth Proportional to 210,880.63, 317,079.65 and 194,441.77

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Solution

The fourth proportional to 210,880.63, 317,079.65 and 194,441.77 is: 292,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,880.63 : 317,079.65 = 194,441.77 : x
  2. Step 2: Convert to fraction form
    210,880.63/317,079.65 = 194,441.77/x
  3. Step 3: Cross multiply
    210,880.63x = 317,079.65 × 194,441.77
  4. Step 4: Simplify right side
    210,880.63x = 61,653,528,376.98
  5. Step 5: Solve for x
    x = 61,653,528,376.98/210,880.63
  6. Step 6: Final answer
    x = 292,362.22

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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.