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Finding the Fourth Proportional to 420,605.70, 580,444.65 and 229,627.14

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Solution

The fourth proportional to 420,605.70, 580,444.65 and 229,627.14 is: 316,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,605.70 : 580,444.65 = 229,627.14 : x
  2. Step 2: Convert to fraction form
    420,605.70/580,444.65 = 229,627.14/x
  3. Step 3: Cross multiply
    420,605.70x = 580,444.65 × 229,627.14
  4. Step 4: Simplify right side
    420,605.70x = 133,285,844,907.80
  5. Step 5: Solve for x
    x = 133,285,844,907.80/420,605.70
  6. Step 6: Final answer
    x = 316,890.25

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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.