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Finding the Fourth Proportional to 517,283.56, 713,844.30 and 290,929.06

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Solution

The fourth proportional to 517,283.56, 713,844.30 and 290,929.06 is: 401,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,283.56 : 713,844.30 = 290,929.06 : x
  2. Step 2: Convert to fraction form
    517,283.56/713,844.30 = 290,929.06/x
  3. Step 3: Cross multiply
    517,283.56x = 713,844.30 × 290,929.06
  4. Step 4: Simplify right side
    517,283.56x = 207,678,051,185.36
  5. Step 5: Solve for x
    x = 207,678,051,185.36/517,283.56
  6. Step 6: Final answer
    x = 401,478.16

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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.