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Finding the Fourth Proportional to 384,822.10, 577,233.15 and 258,850.90

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Solution

The fourth proportional to 384,822.10, 577,233.15 and 258,850.90 is: 388,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,822.10 : 577,233.15 = 258,850.90 : x
  2. Step 2: Convert to fraction form
    384,822.10/577,233.15 = 258,850.90/x
  3. Step 3: Cross multiply
    384,822.10x = 577,233.15 × 258,850.90
  4. Step 4: Simplify right side
    384,822.10x = 149,417,320,387.34
  5. Step 5: Solve for x
    x = 149,417,320,387.34/384,822.10
  6. Step 6: Final answer
    x = 388,276.35

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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.