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Finding the Fourth Proportional to 505,534.16, 755,023.78 and 458,054.48

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Solution

The fourth proportional to 505,534.16, 755,023.78 and 458,054.48 is: 684,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,534.16 : 755,023.78 = 458,054.48 : x
  2. Step 2: Convert to fraction form
    505,534.16/755,023.78 = 458,054.48/x
  3. Step 3: Cross multiply
    505,534.16x = 755,023.78 × 458,054.48
  4. Step 4: Simplify right side
    505,534.16x = 345,842,024,935.53
  5. Step 5: Solve for x
    x = 345,842,024,935.53/505,534.16
  6. Step 6: Final answer
    x = 684,112.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.