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Finding the Fourth Proportional to 296,742, 409,503.96 and 162,603.12

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Solution

The fourth proportional to 296,742, 409,503.96 and 162,603.12 is: 224,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,742 : 409,503.96 = 162,603.12 : x
  2. Step 2: Convert to fraction form
    296,742/409,503.96 = 162,603.12/x
  3. Step 3: Cross multiply
    296,742x = 409,503.96 × 162,603.12
  4. Step 4: Simplify right side
    296,742x = 66,586,621,548.36
  5. Step 5: Solve for x
    x = 66,586,621,548.36/296,742
  6. Step 6: Final answer
    x = 224,392.31

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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.