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Finding the Fourth Proportional to 280,174,466.40, 420,261,699.60 and 98,421,644.40

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Solution

The fourth proportional to 280,174,466.40, 420,261,699.60 and 98,421,644.40 is: 147,632,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,174,466.40 : 420,261,699.60 = 98,421,644.40 : x
  2. Step 2: Convert to fraction form
    280,174,466.40/420,261,699.60 = 98,421,644.40/x
  3. Step 3: Cross multiply
    280,174,466.40x = 420,261,699.60 × 98,421,644.40
  4. Step 4: Simplify right side
    280,174,466.40x = 41,362,847,552,970,824
  5. Step 5: Solve for x
    x = 41,362,847,552,970,824/280,174,466.40
  6. Step 6: Final answer
    x = 147,632,466.60

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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.