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Finding the Fourth Proportional to 409,430.99, 565,007.20 and 223,164.06

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Solution

The fourth proportional to 409,430.99, 565,007.20 and 223,164.06 is: 307,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,430.99 : 565,007.20 = 223,164.06 : x
  2. Step 2: Convert to fraction form
    409,430.99/565,007.20 = 223,164.06/x
  3. Step 3: Cross multiply
    409,430.99x = 565,007.20 × 223,164.06
  4. Step 4: Simplify right side
    409,430.99x = 126,089,298,004.55
  5. Step 5: Solve for x
    x = 126,089,298,004.55/409,430.99
  6. Step 6: Final answer
    x = 307,962.27

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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.