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Finding the Fourth Proportional to 403,358,602.40, 605,037,903.60 and 394,400,650.40

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Solution

The fourth proportional to 403,358,602.40, 605,037,903.60 and 394,400,650.40 is: 591,600,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,358,602.40 : 605,037,903.60 = 394,400,650.40 : x
  2. Step 2: Convert to fraction form
    403,358,602.40/605,037,903.60 = 394,400,650.40/x
  3. Step 3: Cross multiply
    403,358,602.40x = 605,037,903.60 × 394,400,650.40
  4. Step 4: Simplify right side
    403,358,602.40x = 238,627,342,696,492,512
  5. Step 5: Solve for x
    x = 238,627,342,696,492,512/403,358,602.40
  6. Step 6: Final answer
    x = 591,600,975.60

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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.