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Finding the Fourth Proportional to 411,563.16, 620,429.48 and 384,130

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Solution

The fourth proportional to 411,563.16, 620,429.48 and 384,130 is: 579,074.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,563.16 : 620,429.48 = 384,130 : x
  2. Step 2: Convert to fraction form
    411,563.16/620,429.48 = 384,130/x
  3. Step 3: Cross multiply
    411,563.16x = 620,429.48 × 384,130
  4. Step 4: Simplify right side
    411,563.16x = 238,325,576,152.40
  5. Step 5: Solve for x
    x = 238,325,576,152.40/411,563.16
  6. Step 6: Final answer
    x = 579,074.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.