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Finding the Fourth Proportional to 289,708,390.40, 434,562,585.60 and 153,659,494.40

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Solution

The fourth proportional to 289,708,390.40, 434,562,585.60 and 153,659,494.40 is: 230,489,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708,390.40 : 434,562,585.60 = 153,659,494.40 : x
  2. Step 2: Convert to fraction form
    289,708,390.40/434,562,585.60 = 153,659,494.40/x
  3. Step 3: Cross multiply
    289,708,390.40x = 434,562,585.60 × 153,659,494.40
  4. Step 4: Simplify right side
    289,708,390.40x = 66,774,667,188,452,728
  5. Step 5: Solve for x
    x = 66,774,667,188,452,728/289,708,390.40
  6. Step 6: Final answer
    x = 230,489,241.60

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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.