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Finding the Fourth Proportional to 517,068.56, 713,321.36 and 302,112

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Solution

The fourth proportional to 517,068.56, 713,321.36 and 302,112 is: 416,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,068.56 : 713,321.36 = 302,112 : x
  2. Step 2: Convert to fraction form
    517,068.56/713,321.36 = 302,112/x
  3. Step 3: Cross multiply
    517,068.56x = 713,321.36 × 302,112
  4. Step 4: Simplify right side
    517,068.56x = 215,502,942,712.32
  5. Step 5: Solve for x
    x = 215,502,942,712.32/517,068.56
  6. Step 6: Final answer
    x = 416,778.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.