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Finding the Fourth Proportional to 357,454.50, 536,018.24 and 213,425.69

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Solution

The fourth proportional to 357,454.50, 536,018.24 and 213,425.69 is: 320,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,454.50 : 536,018.24 = 213,425.69 : x
  2. Step 2: Convert to fraction form
    357,454.50/536,018.24 = 213,425.69/x
  3. Step 3: Cross multiply
    357,454.50x = 536,018.24 × 213,425.69
  4. Step 4: Simplify right side
    357,454.50x = 114,400,058,977.37
  5. Step 5: Solve for x
    x = 114,400,058,977.37/357,454.50
  6. Step 6: Final answer
    x = 320,040.90

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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.