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Finding the Fourth Proportional to 428,879.18, 642,506.70 and 286,294.47

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Solution

The fourth proportional to 428,879.18, 642,506.70 and 286,294.47 is: 428,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,879.18 : 642,506.70 = 286,294.47 : x
  2. Step 2: Convert to fraction form
    428,879.18/642,506.70 = 286,294.47/x
  3. Step 3: Cross multiply
    428,879.18x = 642,506.70 × 286,294.47
  4. Step 4: Simplify right side
    428,879.18x = 183,946,115,147.95
  5. Step 5: Solve for x
    x = 183,946,115,147.95/428,879.18
  6. Step 6: Final answer
    x = 428,899.62

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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.