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Finding the Fourth Proportional to 453,156.28, 678,733.62 and 411,308.08

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Solution

The fourth proportional to 453,156.28, 678,733.62 and 411,308.08 is: 616,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,156.28 : 678,733.62 = 411,308.08 : x
  2. Step 2: Convert to fraction form
    453,156.28/678,733.62 = 411,308.08/x
  3. Step 3: Cross multiply
    453,156.28x = 678,733.62 × 411,308.08
  4. Step 4: Simplify right side
    453,156.28x = 279,168,622,073.65
  5. Step 5: Solve for x
    x = 279,168,622,073.65/453,156.28
  6. Step 6: Final answer
    x = 616,053.74

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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.