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Finding the Fourth Proportional to 428,636.30, 642,954.45 and 144,303.08

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Solution

The fourth proportional to 428,636.30, 642,954.45 and 144,303.08 is: 216,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,636.30 : 642,954.45 = 144,303.08 : x
  2. Step 2: Convert to fraction form
    428,636.30/642,954.45 = 144,303.08/x
  3. Step 3: Cross multiply
    428,636.30x = 642,954.45 × 144,303.08
  4. Step 4: Simplify right side
    428,636.30x = 92,780,307,434.71
  5. Step 5: Solve for x
    x = 92,780,307,434.71/428,636.30
  6. Step 6: Final answer
    x = 216,454.62

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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.