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Finding the Fourth Proportional to 419,347.20, 627,543.36 and 343,557.12

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Solution

The fourth proportional to 419,347.20, 627,543.36 and 343,557.12 is: 514,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,347.20 : 627,543.36 = 343,557.12 : x
  2. Step 2: Convert to fraction form
    419,347.20/627,543.36 = 343,557.12/x
  3. Step 3: Cross multiply
    419,347.20x = 627,543.36 × 343,557.12
  4. Step 4: Simplify right side
    419,347.20x = 215,596,989,436.72
  5. Step 5: Solve for x
    x = 215,596,989,436.72/419,347.20
  6. Step 6: Final answer
    x = 514,125.26

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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.