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Finding the Fourth Proportional to 420,588.64, 580,422.27 and 229,603.47

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Solution

The fourth proportional to 420,588.64, 580,422.27 and 229,603.47 is: 316,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,588.64 : 580,422.27 = 229,603.47 : x
  2. Step 2: Convert to fraction form
    420,588.64/580,422.27 = 229,603.47/x
  3. Step 3: Cross multiply
    420,588.64x = 580,422.27 × 229,603.47
  4. Step 4: Simplify right side
    420,588.64x = 133,266,967,257.28
  5. Step 5: Solve for x
    x = 133,266,967,257.28/420,588.64
  6. Step 6: Final answer
    x = 316,858.22

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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.