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Finding the Fourth Proportional to 456,224.40, 684,342 and 276,349.05

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Solution

The fourth proportional to 456,224.40, 684,342 and 276,349.05 is: 414,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,224.40 : 684,342 = 276,349.05 : x
  2. Step 2: Convert to fraction form
    456,224.40/684,342 = 276,349.05/x
  3. Step 3: Cross multiply
    456,224.40x = 684,342 × 276,349.05
  4. Step 4: Simplify right side
    456,224.40x = 189,117,261,575.10
  5. Step 5: Solve for x
    x = 189,117,261,575.10/456,224.40
  6. Step 6: Final answer
    x = 414,526.85

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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.