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Finding the Fourth Proportional to 409,978.08, 565,713.18 and 228,668.76

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Solution

The fourth proportional to 409,978.08, 565,713.18 and 228,668.76 is: 315,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,978.08 : 565,713.18 = 228,668.76 : x
  2. Step 2: Convert to fraction form
    409,978.08/565,713.18 = 228,668.76/x
  3. Step 3: Cross multiply
    409,978.08x = 565,713.18 × 228,668.76
  4. Step 4: Simplify right side
    409,978.08x = 129,360,931,386.26
  5. Step 5: Solve for x
    x = 129,360,931,386.26/409,978.08
  6. Step 6: Final answer
    x = 315,531.34

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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.