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Finding the Fourth Proportional to 686,387.03, 946,893.71 and 431,878.55

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Solution

The fourth proportional to 686,387.03, 946,893.71 and 431,878.55 is: 595,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,387.03 : 946,893.71 = 431,878.55 : x
  2. Step 2: Convert to fraction form
    686,387.03/946,893.71 = 431,878.55/x
  3. Step 3: Cross multiply
    686,387.03x = 946,893.71 × 431,878.55
  4. Step 4: Simplify right side
    686,387.03x = 408,943,075,585.06
  5. Step 5: Solve for x
    x = 408,943,075,585.06/686,387.03
  6. Step 6: Final answer
    x = 595,790.80

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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.