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Finding the Fourth Proportional to 428,880.18, 642,508.20 and 286,295.47

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Solution

The fourth proportional to 428,880.18, 642,508.20 and 286,295.47 is: 428,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,880.18 : 642,508.20 = 286,295.47 : x
  2. Step 2: Convert to fraction form
    428,880.18/642,508.20 = 286,295.47/x
  3. Step 3: Cross multiply
    428,880.18x = 642,508.20 × 286,295.47
  4. Step 4: Simplify right side
    428,880.18x = 183,947,187,097.85
  5. Step 5: Solve for x
    x = 183,947,187,097.85/428,880.18
  6. Step 6: Final answer
    x = 428,901.11

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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.