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Finding the Fourth Proportional to 372,309, 513,814.50 and 227,101.77

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Solution

The fourth proportional to 372,309, 513,814.50 and 227,101.77 is: 313,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,309 : 513,814.50 = 227,101.77 : x
  2. Step 2: Convert to fraction form
    372,309/513,814.50 = 227,101.77/x
  3. Step 3: Cross multiply
    372,309x = 513,814.50 × 227,101.77
  4. Step 4: Simplify right side
    372,309x = 116,688,182,401.67
  5. Step 5: Solve for x
    x = 116,688,182,401.67/372,309
  6. Step 6: Final answer
    x = 313,417.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.