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Finding the Fourth Proportional to 407,050.56, 609,785.28 and 229,014.72

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Solution

The fourth proportional to 407,050.56, 609,785.28 and 229,014.72 is: 343,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,050.56 : 609,785.28 = 229,014.72 : x
  2. Step 2: Convert to fraction form
    407,050.56/609,785.28 = 229,014.72/x
  3. Step 3: Cross multiply
    407,050.56x = 609,785.28 × 229,014.72
  4. Step 4: Simplify right side
    407,050.56x = 139,649,805,159.32
  5. Step 5: Solve for x
    x = 139,649,805,159.32/407,050.56
  6. Step 6: Final answer
    x = 343,077.30

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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.