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Finding the Fourth Proportional to 428,602.31, 642,903.42 and 144,269.00

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Solution

The fourth proportional to 428,602.31, 642,903.42 and 144,269.00 is: 216,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,602.31 : 642,903.42 = 144,269.00 : x
  2. Step 2: Convert to fraction form
    428,602.31/642,903.42 = 144,269.00/x
  3. Step 3: Cross multiply
    428,602.31x = 642,903.42 × 144,269.00
  4. Step 4: Simplify right side
    428,602.31x = 92,751,030,285.46
  5. Step 5: Solve for x
    x = 92,751,030,285.46/428,602.31
  6. Step 6: Final answer
    x = 216,403.48

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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.