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Finding the Fourth Proportional to 280,174,659.60, 420,261,989.40 and 264,302,288.40

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Solution

The fourth proportional to 280,174,659.60, 420,261,989.40 and 264,302,288.40 is: 396,453,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,174,659.60 : 420,261,989.40 = 264,302,288.40 : x
  2. Step 2: Convert to fraction form
    280,174,659.60/420,261,989.40 = 264,302,288.40/x
  3. Step 3: Cross multiply
    280,174,659.60x = 420,261,989.40 × 264,302,288.40
  4. Step 4: Simplify right side
    280,174,659.60x = 111,076,205,525,956,544
  5. Step 5: Solve for x
    x = 111,076,205,525,956,544/280,174,659.60
  6. Step 6: Final answer
    x = 396,453,432.60

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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.