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Finding the Fourth Proportional to 510,729.21, 704,779.16 and 292,926.65

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Solution

The fourth proportional to 510,729.21, 704,779.16 and 292,926.65 is: 404,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,729.21 : 704,779.16 = 292,926.65 : x
  2. Step 2: Convert to fraction form
    510,729.21/704,779.16 = 292,926.65/x
  3. Step 3: Cross multiply
    510,729.21x = 704,779.16 × 292,926.65
  4. Step 4: Simplify right side
    510,729.21x = 206,448,593,340.09
  5. Step 5: Solve for x
    x = 206,448,593,340.09/510,729.21
  6. Step 6: Final answer
    x = 404,223.20

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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.