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Finding the Fourth Proportional to 428,656.78, 642,582.86 and 144,148.39

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Solution

The fourth proportional to 428,656.78, 642,582.86 and 144,148.39 is: 216,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,656.78 : 642,582.86 = 144,148.39 : x
  2. Step 2: Convert to fraction form
    428,656.78/642,582.86 = 144,148.39/x
  3. Step 3: Cross multiply
    428,656.78x = 642,582.86 × 144,148.39
  4. Step 4: Simplify right side
    428,656.78x = 92,627,284,710.60
  5. Step 5: Solve for x
    x = 92,627,284,710.60/428,656.78
  6. Step 6: Final answer
    x = 216,087.30

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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.