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Finding the Fourth Proportional to 455,194,881.60, 682,792,322.40 and 340,403,625.60

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Solution

The fourth proportional to 455,194,881.60, 682,792,322.40 and 340,403,625.60 is: 510,605,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,194,881.60 : 682,792,322.40 = 340,403,625.60 : x
  2. Step 2: Convert to fraction form
    455,194,881.60/682,792,322.40 = 340,403,625.60/x
  3. Step 3: Cross multiply
    455,194,881.60x = 682,792,322.40 × 340,403,625.60
  4. Step 4: Simplify right side
    455,194,881.60x = 232,424,982,076,804,096
  5. Step 5: Solve for x
    x = 232,424,982,076,804,096/455,194,881.60
  6. Step 6: Final answer
    x = 510,605,438.40

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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.