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Finding the Fourth Proportional to 317,663.81, 438,382.32 and 174,422.60

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Solution

The fourth proportional to 317,663.81, 438,382.32 and 174,422.60 is: 240,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,663.81 : 438,382.32 = 174,422.60 : x
  2. Step 2: Convert to fraction form
    317,663.81/438,382.32 = 174,422.60/x
  3. Step 3: Cross multiply
    317,663.81x = 438,382.32 × 174,422.60
  4. Step 4: Simplify right side
    317,663.81x = 76,463,784,048.43
  5. Step 5: Solve for x
    x = 76,463,784,048.43/317,663.81
  6. Step 6: Final answer
    x = 240,706.63

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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.