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Finding the Fourth Proportional to 428,668.09, 642,870.82 and 296,398.33

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Solution

The fourth proportional to 428,668.09, 642,870.82 and 296,398.33 is: 444,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,668.09 : 642,870.82 = 296,398.33 : x
  2. Step 2: Convert to fraction form
    428,668.09/642,870.82 = 296,398.33/x
  3. Step 3: Cross multiply
    428,668.09x = 642,870.82 × 296,398.33
  4. Step 4: Simplify right side
    428,668.09x = 190,545,838,319.91
  5. Step 5: Solve for x
    x = 190,545,838,319.91/428,668.09
  6. Step 6: Final answer
    x = 444,506.70

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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.