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Finding the Fourth Proportional to 380,800.16, 571,319.60 and 229,162.68

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Solution

The fourth proportional to 380,800.16, 571,319.60 and 229,162.68 is: 343,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,800.16 : 571,319.60 = 229,162.68 : x
  2. Step 2: Convert to fraction form
    380,800.16/571,319.60 = 229,162.68/x
  3. Step 3: Cross multiply
    380,800.16x = 571,319.60 × 229,162.68
  4. Step 4: Simplify right side
    380,800.16x = 130,925,130,672.53
  5. Step 5: Solve for x
    x = 130,925,130,672.53/380,800.16
  6. Step 6: Final answer
    x = 343,815.85

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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.