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Finding the Fourth Proportional to 409,516,608.60, 614,274,912.90 and 361,049,189.40

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Solution

The fourth proportional to 409,516,608.60, 614,274,912.90 and 361,049,189.40 is: 541,573,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,516,608.60 : 614,274,912.90 = 361,049,189.40 : x
  2. Step 2: Convert to fraction form
    409,516,608.60/614,274,912.90 = 361,049,189.40/x
  3. Step 3: Cross multiply
    409,516,608.60x = 614,274,912.90 × 361,049,189.40
  4. Step 4: Simplify right side
    409,516,608.60x = 221,783,459,371,300,576
  5. Step 5: Solve for x
    x = 221,783,459,371,300,576/409,516,608.60
  6. Step 6: Final answer
    x = 541,573,784.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.