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Finding the Fourth Proportional to 461,978.10, 645,194.70 and 461,978.10

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Solution

The fourth proportional to 461,978.10, 645,194.70 and 461,978.10 is: 645,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,978.10 : 645,194.70 = 461,978.10 : x
  2. Step 2: Convert to fraction form
    461,978.10/645,194.70 = 461,978.10/x
  3. Step 3: Cross multiply
    461,978.10x = 645,194.70 × 461,978.10
  4. Step 4: Simplify right side
    461,978.10x = 298,065,821,636.07
  5. Step 5: Solve for x
    x = 298,065,821,636.07/461,978.10
  6. Step 6: Final answer
    x = 645,194.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.