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Finding the Fourth Proportional to 686,375.02, 946,877.13 and 431,866.54

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Solution

The fourth proportional to 686,375.02, 946,877.13 and 431,866.54 is: 595,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,375.02 : 946,877.13 = 431,866.54 : x
  2. Step 2: Convert to fraction form
    686,375.02/946,877.13 = 431,866.54/x
  3. Step 3: Cross multiply
    686,375.02x = 946,877.13 × 431,866.54
  4. Step 4: Simplify right side
    686,375.02x = 408,924,549,938.23
  5. Step 5: Solve for x
    x = 408,924,549,938.23/686,375.02
  6. Step 6: Final answer
    x = 595,774.23

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1.5x scale

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.