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Finding the Fourth Proportional to 456,228.40, 684,348 and 276,353.05

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Solution

The fourth proportional to 456,228.40, 684,348 and 276,353.05 is: 414,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,228.40 : 684,348 = 276,353.05 : x
  2. Step 2: Convert to fraction form
    456,228.40/684,348 = 276,353.05/x
  3. Step 3: Cross multiply
    456,228.40x = 684,348 × 276,353.05
  4. Step 4: Simplify right side
    456,228.40x = 189,121,657,061.40
  5. Step 5: Solve for x
    x = 189,121,657,061.40/456,228.40
  6. Step 6: Final answer
    x = 414,532.85

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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.