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Finding the Fourth Proportional to 648,002.80, 971,581.80 and 581,647.60

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Solution

The fourth proportional to 648,002.80, 971,581.80 and 581,647.60 is: 872,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,002.80 : 971,581.80 = 581,647.60 : x
  2. Step 2: Convert to fraction form
    648,002.80/971,581.80 = 581,647.60/x
  3. Step 3: Cross multiply
    648,002.80x = 971,581.80 × 581,647.60
  4. Step 4: Simplify right side
    648,002.80x = 565,118,222,173.68
  5. Step 5: Solve for x
    x = 565,118,222,173.68/648,002.80
  6. Step 6: Final answer
    x = 872,092.25

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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.