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Finding the Fourth Proportional to 514,519.32, 709,409.32 and 378,138

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Solution

The fourth proportional to 514,519.32, 709,409.32 and 378,138 is: 521,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,519.32 : 709,409.32 = 378,138 : x
  2. Step 2: Convert to fraction form
    514,519.32/709,409.32 = 378,138/x
  3. Step 3: Cross multiply
    514,519.32x = 709,409.32 × 378,138
  4. Step 4: Simplify right side
    514,519.32x = 268,254,621,446.16
  5. Step 5: Solve for x
    x = 268,254,621,446.16/514,519.32
  6. Step 6: Final answer
    x = 521,369.39

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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.