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Finding the Fourth Proportional to 317,415.42, 438,049.62 and 190,164.78

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Solution

The fourth proportional to 317,415.42, 438,049.62 and 190,164.78 is: 262,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415.42 : 438,049.62 = 190,164.78 : x
  2. Step 2: Convert to fraction form
    317,415.42/438,049.62 = 190,164.78/x
  3. Step 3: Cross multiply
    317,415.42x = 438,049.62 × 190,164.78
  4. Step 4: Simplify right side
    317,415.42x = 83,301,609,616.38
  5. Step 5: Solve for x
    x = 83,301,609,616.38/317,415.42
  6. Step 6: Final answer
    x = 262,437.19

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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.