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Finding the Fourth Proportional to 790,272, 1,090,592.64 and 432,576

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Solution

The fourth proportional to 790,272, 1,090,592.64 and 432,576 is: 596,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,272 : 1,090,592.64 = 432,576 : x
  2. Step 2: Convert to fraction form
    790,272/1,090,592.64 = 432,576/x
  3. Step 3: Cross multiply
    790,272x = 1,090,592.64 × 432,576
  4. Step 4: Simplify right side
    790,272x = 471,764,201,840.64
  5. Step 5: Solve for x
    x = 471,764,201,840.64/790,272
  6. Step 6: Final answer
    x = 596,964.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.