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Finding the Fourth Proportional to 339,657.14, 509,714.82 and 139,973.10

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Solution

The fourth proportional to 339,657.14, 509,714.82 and 139,973.10 is: 210,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,657.14 : 509,714.82 = 139,973.10 : x
  2. Step 2: Convert to fraction form
    339,657.14/509,714.82 = 139,973.10/x
  3. Step 3: Cross multiply
    339,657.14x = 509,714.82 × 139,973.10
  4. Step 4: Simplify right side
    339,657.14x = 71,346,363,471.34
  5. Step 5: Solve for x
    x = 71,346,363,471.34/339,657.14
  6. Step 6: Final answer
    x = 210,054.07

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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.