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Finding the Fourth Proportional to 416,439, 574,427.43 and 307,431.90

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Solution

The fourth proportional to 416,439, 574,427.43 and 307,431.90 is: 424,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,439 : 574,427.43 = 307,431.90 : x
  2. Step 2: Convert to fraction form
    416,439/574,427.43 = 307,431.90/x
  3. Step 3: Cross multiply
    416,439x = 574,427.43 × 307,431.90
  4. Step 4: Simplify right side
    416,439x = 176,597,316,217.02
  5. Step 5: Solve for x
    x = 176,597,316,217.02/416,439
  6. Step 6: Final answer
    x = 424,065.27

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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.