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Finding the Fourth Proportional to 317,670.91, 438,400.16 and 190,343.77

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Solution

The fourth proportional to 317,670.91, 438,400.16 and 190,343.77 is: 262,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670.91 : 438,400.16 = 190,343.77 : x
  2. Step 2: Convert to fraction form
    317,670.91/438,400.16 = 190,343.77/x
  3. Step 3: Cross multiply
    317,670.91x = 438,400.16 × 190,343.77
  4. Step 4: Simplify right side
    317,670.91x = 83,446,738,271.28
  5. Step 5: Solve for x
    x = 83,446,738,271.28/317,670.91
  6. Step 6: Final answer
    x = 262,682.97

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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.