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Finding the Fourth Proportional to 380,518.66, 525,119.61 and 229,586.50

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Solution

The fourth proportional to 380,518.66, 525,119.61 and 229,586.50 is: 316,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,518.66 : 525,119.61 = 229,586.50 : x
  2. Step 2: Convert to fraction form
    380,518.66/525,119.61 = 229,586.50/x
  3. Step 3: Cross multiply
    380,518.66x = 525,119.61 × 229,586.50
  4. Step 4: Simplify right side
    380,518.66x = 120,560,373,341.27
  5. Step 5: Solve for x
    x = 120,560,373,341.27/380,518.66
  6. Step 6: Final answer
    x = 316,831.70

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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.