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Finding the Fourth Proportional to 306,058,345.60, 459,983,313.60 and 266,643,356.80

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Solution

The fourth proportional to 306,058,345.60, 459,983,313.60 and 266,643,356.80 is: 400,745,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058,345.60 : 459,983,313.60 = 266,643,356.80 : x
  2. Step 2: Convert to fraction form
    306,058,345.60/459,983,313.60 = 266,643,356.80/x
  3. Step 3: Cross multiply
    306,058,345.60x = 459,983,313.60 × 266,643,356.80
  4. Step 4: Simplify right side
    306,058,345.60x = 122,651,494,810,291,104
  5. Step 5: Solve for x
    x = 122,651,494,810,291,104/306,058,345.60
  6. Step 6: Final answer
    x = 400,745,467.57

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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.