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Finding the Fourth Proportional to 453,807.84, 680,813.28 and 138,289.44

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Solution

The fourth proportional to 453,807.84, 680,813.28 and 138,289.44 is: 207,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,807.84 : 680,813.28 = 138,289.44 : x
  2. Step 2: Convert to fraction form
    453,807.84/680,813.28 = 138,289.44/x
  3. Step 3: Cross multiply
    453,807.84x = 680,813.28 × 138,289.44
  4. Step 4: Simplify right side
    453,807.84x = 94,149,287,235.76
  5. Step 5: Solve for x
    x = 94,149,287,235.76/453,807.84
  6. Step 6: Final answer
    x = 207,465.10

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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.