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Finding the Fourth Proportional to 420,641.63, 580,482.44 and 229,655.01

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Solution

The fourth proportional to 420,641.63, 580,482.44 and 229,655.01 is: 316,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,641.63 : 580,482.44 = 229,655.01 : x
  2. Step 2: Convert to fraction form
    420,641.63/580,482.44 = 229,655.01/x
  3. Step 3: Cross multiply
    420,641.63x = 580,482.44 × 229,655.01
  4. Step 4: Simplify right side
    420,641.63x = 133,310,699,414.75
  5. Step 5: Solve for x
    x = 133,310,699,414.75/420,641.63
  6. Step 6: Final answer
    x = 316,922.27

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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.