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Finding the Fourth Proportional to 409,579.60, 565,222.42 and 228,302.98

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Solution

The fourth proportional to 409,579.60, 565,222.42 and 228,302.98 is: 315,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,579.60 : 565,222.42 = 228,302.98 : x
  2. Step 2: Convert to fraction form
    409,579.60/565,222.42 = 228,302.98/x
  3. Step 3: Cross multiply
    409,579.60x = 565,222.42 × 228,302.98
  4. Step 4: Simplify right side
    409,579.60x = 129,041,962,848.81
  5. Step 5: Solve for x
    x = 129,041,962,848.81/409,579.60
  6. Step 6: Final answer
    x = 315,059.55

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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.