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Finding the Fourth Proportional to 428,910.71, 642,917.13 and 144,502.98

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Solution

The fourth proportional to 428,910.71, 642,917.13 and 144,502.98 is: 216,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,910.71 : 642,917.13 = 144,502.98 : x
  2. Step 2: Convert to fraction form
    428,910.71/642,917.13 = 144,502.98/x
  3. Step 3: Cross multiply
    428,910.71x = 642,917.13 × 144,502.98
  4. Step 4: Simplify right side
    428,910.71x = 92,903,438,225.22
  5. Step 5: Solve for x
    x = 92,903,438,225.22/428,910.71
  6. Step 6: Final answer
    x = 216,603.22

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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.