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Finding the Fourth Proportional to 538,073.12, 742,612 and 347,640.48

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Solution

The fourth proportional to 538,073.12, 742,612 and 347,640.48 is: 479,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,073.12 : 742,612 = 347,640.48 : x
  2. Step 2: Convert to fraction form
    538,073.12/742,612 = 347,640.48/x
  3. Step 3: Cross multiply
    538,073.12x = 742,612 × 347,640.48
  4. Step 4: Simplify right side
    538,073.12x = 258,161,992,133.76
  5. Step 5: Solve for x
    x = 258,161,992,133.76/538,073.12
  6. Step 6: Final answer
    x = 479,789.80

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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.