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Finding the Fourth Proportional to 614,584.26, 921,040.47 and 361,980.90

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Solution

The fourth proportional to 614,584.26, 921,040.47 and 361,980.90 is: 542,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,584.26 : 921,040.47 = 361,980.90 : x
  2. Step 2: Convert to fraction form
    614,584.26/921,040.47 = 361,980.90/x
  3. Step 3: Cross multiply
    614,584.26x = 921,040.47 × 361,980.90
  4. Step 4: Simplify right side
    614,584.26x = 333,399,058,267.02
  5. Step 5: Solve for x
    x = 333,399,058,267.02/614,584.26
  6. Step 6: Final answer
    x = 542,479.01

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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.