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Finding the Fourth Proportional to 514,513.32, 709,401.06 and 378,132

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Solution

The fourth proportional to 514,513.32, 709,401.06 and 378,132 is: 521,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,513.32 : 709,401.06 = 378,132 : x
  2. Step 2: Convert to fraction form
    514,513.32/709,401.06 = 378,132/x
  3. Step 3: Cross multiply
    514,513.32x = 709,401.06 × 378,132
  4. Step 4: Simplify right side
    514,513.32x = 268,247,241,619.92
  5. Step 5: Solve for x
    x = 268,247,241,619.92/514,513.32
  6. Step 6: Final answer
    x = 521,361.12

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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.