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Finding the Fourth Proportional to 306,058,809.60, 459,984,009.60 and 266,643,820.80

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Solution

The fourth proportional to 306,058,809.60, 459,984,009.60 and 266,643,820.80 is: 400,746,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058,809.60 : 459,984,009.60 = 266,643,820.80 : x
  2. Step 2: Convert to fraction form
    306,058,809.60/459,984,009.60 = 266,643,820.80/x
  3. Step 3: Cross multiply
    306,058,809.60x = 459,984,009.60 × 266,643,820.80
  4. Step 4: Simplify right side
    306,058,809.60x = 122,651,893,826,647,888
  5. Step 5: Solve for x
    x = 122,651,893,826,647,888/306,058,809.60
  6. Step 6: Final answer
    x = 400,746,163.74

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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.