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Finding the Fourth Proportional to 409,435.89, 565,038.90 and 228,147.95

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Solution

The fourth proportional to 409,435.89, 565,038.90 and 228,147.95 is: 314,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,435.89 : 565,038.90 = 228,147.95 : x
  2. Step 2: Convert to fraction form
    409,435.89/565,038.90 = 228,147.95/x
  3. Step 3: Cross multiply
    409,435.89x = 565,038.90 × 228,147.95
  4. Step 4: Simplify right side
    409,435.89x = 128,912,463,880.06
  5. Step 5: Solve for x
    x = 128,912,463,880.06/409,435.89
  6. Step 6: Final answer
    x = 314,853.84

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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.