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Finding the Fourth Proportional to 357,456.50, 536,021.23 and 213,427.69

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Solution

The fourth proportional to 357,456.50, 536,021.23 and 213,427.69 is: 320,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,456.50 : 536,021.23 = 213,427.69 : x
  2. Step 2: Convert to fraction form
    357,456.50/536,021.23 = 213,427.69/x
  3. Step 3: Cross multiply
    357,456.50x = 536,021.23 × 213,427.69
  4. Step 4: Simplify right side
    357,456.50x = 114,401,772,909.86
  5. Step 5: Solve for x
    x = 114,401,772,909.86/357,456.50
  6. Step 6: Final answer
    x = 320,043.90

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1.5x scale

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.