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Finding the Fourth Proportional to 456,415.80, 684,623.70 and 453,791.40

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Solution

The fourth proportional to 456,415.80, 684,623.70 and 453,791.40 is: 680,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,415.80 : 684,623.70 = 453,791.40 : x
  2. Step 2: Convert to fraction form
    456,415.80/684,623.70 = 453,791.40/x
  3. Step 3: Cross multiply
    456,415.80x = 684,623.70 × 453,791.40
  4. Step 4: Simplify right side
    456,415.80x = 310,676,347,296.18
  5. Step 5: Solve for x
    x = 310,676,347,296.18/456,415.80
  6. Step 6: Final answer
    x = 680,687.10

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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.