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Finding the Fourth Proportional to 471,499.64, 650,683.54 and 290,316.12

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Solution

The fourth proportional to 471,499.64, 650,683.54 and 290,316.12 is: 400,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,499.64 : 650,683.54 = 290,316.12 : x
  2. Step 2: Convert to fraction form
    471,499.64/650,683.54 = 290,316.12/x
  3. Step 3: Cross multiply
    471,499.64x = 650,683.54 × 290,316.12
  4. Step 4: Simplify right side
    471,499.64x = 188,903,920,680.67
  5. Step 5: Solve for x
    x = 188,903,920,680.67/471,499.64
  6. Step 6: Final answer
    x = 400,644.89

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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.