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Finding the Fourth Proportional to 972,840, 1,342,493.04 and 543,108

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Solution

The fourth proportional to 972,840, 1,342,493.04 and 543,108 is: 749,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,840 : 1,342,493.04 = 543,108 : x
  2. Step 2: Convert to fraction form
    972,840/1,342,493.04 = 543,108/x
  3. Step 3: Cross multiply
    972,840x = 1,342,493.04 × 543,108
  4. Step 4: Simplify right side
    972,840x = 729,118,709,968.32
  5. Step 5: Solve for x
    x = 729,118,709,968.32/972,840
  6. Step 6: Final answer
    x = 749,474.44

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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.