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Finding the Fourth Proportional to 405,430.94, 559,446.06 and 224,118.30

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Solution

The fourth proportional to 405,430.94, 559,446.06 and 224,118.30 is: 309,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,430.94 : 559,446.06 = 224,118.30 : x
  2. Step 2: Convert to fraction form
    405,430.94/559,446.06 = 224,118.30/x
  3. Step 3: Cross multiply
    405,430.94x = 559,446.06 × 224,118.30
  4. Step 4: Simplify right side
    405,430.94x = 125,382,099,908.90
  5. Step 5: Solve for x
    x = 125,382,099,908.90/405,430.94
  6. Step 6: Final answer
    x = 309,256.37

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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.