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Finding the Fourth Proportional to 400,495.32, 600,684.66 and 151,119

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Solution

The fourth proportional to 400,495.32, 600,684.66 and 151,119 is: 226,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,495.32 : 600,684.66 = 151,119 : x
  2. Step 2: Convert to fraction form
    400,495.32/600,684.66 = 151,119/x
  3. Step 3: Cross multiply
    400,495.32x = 600,684.66 × 151,119
  4. Step 4: Simplify right side
    400,495.32x = 90,774,865,134.54
  5. Step 5: Solve for x
    x = 90,774,865,134.54/400,495.32
  6. Step 6: Final answer
    x = 226,656.49

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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.