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Finding the Fourth Proportional to 505,047.36, 757,374.16 and 189,332

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Solution

The fourth proportional to 505,047.36, 757,374.16 and 189,332 is: 283,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,047.36 : 757,374.16 = 189,332 : x
  2. Step 2: Convert to fraction form
    505,047.36/757,374.16 = 189,332/x
  3. Step 3: Cross multiply
    505,047.36x = 757,374.16 × 189,332
  4. Step 4: Simplify right side
    505,047.36x = 143,395,164,461.12
  5. Step 5: Solve for x
    x = 143,395,164,461.12/505,047.36
  6. Step 6: Final answer
    x = 283,924.19

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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.