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Finding the Fourth Proportional to 489,452,678.40, 734,179,017.60 and 448,638,009.60

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Solution

The fourth proportional to 489,452,678.40, 734,179,017.60 and 448,638,009.60 is: 672,957,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,452,678.40 : 734,179,017.60 = 448,638,009.60 : x
  2. Step 2: Convert to fraction form
    489,452,678.40/734,179,017.60 = 448,638,009.60/x
  3. Step 3: Cross multiply
    489,452,678.40x = 734,179,017.60 × 448,638,009.60
  4. Step 4: Simplify right side
    489,452,678.40x = 329,380,613,146,147,392
  5. Step 5: Solve for x
    x = 329,380,613,146,147,392/489,452,678.40
  6. Step 6: Final answer
    x = 672,957,014.40

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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.