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Finding the Fourth Proportional to 538,120, 742,605.60 and 311,896.72

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Solution

The fourth proportional to 538,120, 742,605.60 and 311,896.72 is: 430,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,120 : 742,605.60 = 311,896.72 : x
  2. Step 2: Convert to fraction form
    538,120/742,605.60 = 311,896.72/x
  3. Step 3: Cross multiply
    538,120x = 742,605.60 × 311,896.72
  4. Step 4: Simplify right side
    538,120x = 231,616,250,893.63
  5. Step 5: Solve for x
    x = 231,616,250,893.63/538,120
  6. Step 6: Final answer
    x = 430,417.47

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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.