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Finding the Fourth Proportional to 397,591.40, 596,387.10 and 371,347.40

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Solution

The fourth proportional to 397,591.40, 596,387.10 and 371,347.40 is: 557,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,591.40 : 596,387.10 = 371,347.40 : x
  2. Step 2: Convert to fraction form
    397,591.40/596,387.10 = 371,347.40/x
  3. Step 3: Cross multiply
    397,591.40x = 596,387.10 × 371,347.40
  4. Step 4: Simplify right side
    397,591.40x = 221,466,798,978.54
  5. Step 5: Solve for x
    x = 221,466,798,978.54/397,591.40
  6. Step 6: Final answer
    x = 557,021.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.