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Finding the Fourth Proportional to 405,400.50, 559,487.25 and 226,587.06

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Solution

The fourth proportional to 405,400.50, 559,487.25 and 226,587.06 is: 312,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,400.50 : 559,487.25 = 226,587.06 : x
  2. Step 2: Convert to fraction form
    405,400.50/559,487.25 = 226,587.06/x
  3. Step 3: Cross multiply
    405,400.50x = 559,487.25 × 226,587.06
  4. Step 4: Simplify right side
    405,400.50x = 126,772,571,084.99
  5. Step 5: Solve for x
    x = 126,772,571,084.99/405,400.50
  6. Step 6: Final answer
    x = 312,709.46

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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.