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Finding the Fourth Proportional to 489,238.60, 732,983.10 and 414,005.80

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Solution

The fourth proportional to 489,238.60, 732,983.10 and 414,005.80 is: 620,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,238.60 : 732,983.10 = 414,005.80 : x
  2. Step 2: Convert to fraction form
    489,238.60/732,983.10 = 414,005.80/x
  3. Step 3: Cross multiply
    489,238.60x = 732,983.10 × 414,005.80
  4. Step 4: Simplify right side
    489,238.60x = 303,459,254,701.98
  5. Step 5: Solve for x
    x = 303,459,254,701.98/489,238.60
  6. Step 6: Final answer
    x = 620,268.42

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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.