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Finding the Fourth Proportional to 517,298.78, 713,467.22 and 336,068.70

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Solution

The fourth proportional to 517,298.78, 713,467.22 and 336,068.70 is: 463,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,298.78 : 713,467.22 = 336,068.70 : x
  2. Step 2: Convert to fraction form
    517,298.78/713,467.22 = 336,068.70/x
  3. Step 3: Cross multiply
    517,298.78x = 713,467.22 × 336,068.70
  4. Step 4: Simplify right side
    517,298.78x = 239,774,001,118.01
  5. Step 5: Solve for x
    x = 239,774,001,118.01/517,298.78
  6. Step 6: Final answer
    x = 463,511.63

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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.