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Finding the Fourth Proportional to 654,280,658.40, 980,587,400.40 and 347,719,634.40

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Solution

The fourth proportional to 654,280,658.40, 980,587,400.40 and 347,719,634.40 is: 521,136,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,280,658.40 : 980,587,400.40 = 347,719,634.40 : x
  2. Step 2: Convert to fraction form
    654,280,658.40/980,587,400.40 = 347,719,634.40/x
  3. Step 3: Cross multiply
    654,280,658.40x = 980,587,400.40 × 347,719,634.40
  4. Step 4: Simplify right side
    654,280,658.40x = 340,969,492,364,334,400
  5. Step 5: Solve for x
    x = 340,969,492,364,334,400/654,280,658.40
  6. Step 6: Final answer
    x = 521,136,438.91

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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.