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Finding the Fourth Proportional to 428,637.65, 642,825.21 and 296,367.89

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Solution

The fourth proportional to 428,637.65, 642,825.21 and 296,367.89 is: 444,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,637.65 : 642,825.21 = 296,367.89 : x
  2. Step 2: Convert to fraction form
    428,637.65/642,825.21 = 296,367.89/x
  3. Step 3: Cross multiply
    428,637.65x = 642,825.21 × 296,367.89
  4. Step 4: Simplify right side
    428,637.65x = 190,512,751,126.51
  5. Step 5: Solve for x
    x = 190,512,751,126.51/428,637.65
  6. Step 6: Final answer
    x = 444,461.08

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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.