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Finding the Fourth Proportional to 431,862.02, 643,360.78 and 412,431.30

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Solution

The fourth proportional to 431,862.02, 643,360.78 and 412,431.30 is: 614,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,862.02 : 643,360.78 = 412,431.30 : x
  2. Step 2: Convert to fraction form
    431,862.02/643,360.78 = 412,431.30/x
  3. Step 3: Cross multiply
    431,862.02x = 643,360.78 × 412,431.30
  4. Step 4: Simplify right side
    431,862.02x = 265,342,122,864.41
  5. Step 5: Solve for x
    x = 265,342,122,864.41/431,862.02
  6. Step 6: Final answer
    x = 614,414.12

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1.5x scale

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.