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Finding the Fourth Proportional to 456,431.96, 684,374.54 and 216,605.54

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Solution

The fourth proportional to 456,431.96, 684,374.54 and 216,605.54 is: 324,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,431.96 : 684,374.54 = 216,605.54 : x
  2. Step 2: Convert to fraction form
    456,431.96/684,374.54 = 216,605.54/x
  3. Step 3: Cross multiply
    456,431.96x = 684,374.54 × 216,605.54
  4. Step 4: Simplify right side
    456,431.96x = 148,239,312,294.05
  5. Step 5: Solve for x
    x = 148,239,312,294.05/456,431.96
  6. Step 6: Final answer
    x = 324,778.56

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1.5x scale

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.