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Finding the Fourth Proportional to 524,626.80, 785,773.80 and 405,913.20

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Solution

The fourth proportional to 524,626.80, 785,773.80 and 405,913.20 is: 607,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,626.80 : 785,773.80 = 405,913.20 : x
  2. Step 2: Convert to fraction form
    524,626.80/785,773.80 = 405,913.20/x
  3. Step 3: Cross multiply
    524,626.80x = 785,773.80 × 405,913.20
  4. Step 4: Simplify right side
    524,626.80x = 318,955,957,634.16
  5. Step 5: Solve for x
    x = 318,955,957,634.16/524,626.80
  6. Step 6: Final answer
    x = 607,967.34

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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.