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Finding the Fourth Proportional to 431,860.02, 643,357.80 and 412,429.30

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Solution

The fourth proportional to 431,860.02, 643,357.80 and 412,429.30 is: 614,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,860.02 : 643,357.80 = 412,429.30 : x
  2. Step 2: Convert to fraction form
    431,860.02/643,357.80 = 412,429.30/x
  3. Step 3: Cross multiply
    431,860.02x = 643,357.80 × 412,429.30
  4. Step 4: Simplify right side
    431,860.02x = 265,339,607,103.54
  5. Step 5: Solve for x
    x = 265,339,607,103.54/431,860.02
  6. Step 6: Final answer
    x = 614,411.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.