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Finding the Fourth Proportional to 405,265, 559,265.70 and 226,451.56

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Solution

The fourth proportional to 405,265, 559,265.70 and 226,451.56 is: 312,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,265 : 559,265.70 = 226,451.56 : x
  2. Step 2: Convert to fraction form
    405,265/559,265.70 = 226,451.56/x
  3. Step 3: Cross multiply
    405,265x = 559,265.70 × 226,451.56
  4. Step 4: Simplify right side
    405,265x = 126,646,590,219.49
  5. Step 5: Solve for x
    x = 126,646,590,219.49/405,265
  6. Step 6: Final answer
    x = 312,503.15

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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.