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Finding the Fourth Proportional to 440,876.40, 661,314.60 and 283,412.40

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Solution

The fourth proportional to 440,876.40, 661,314.60 and 283,412.40 is: 425,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,876.40 : 661,314.60 = 283,412.40 : x
  2. Step 2: Convert to fraction form
    440,876.40/661,314.60 = 283,412.40/x
  3. Step 3: Cross multiply
    440,876.40x = 661,314.60 × 283,412.40
  4. Step 4: Simplify right side
    440,876.40x = 187,424,757,941.04
  5. Step 5: Solve for x
    x = 187,424,757,941.04/440,876.40
  6. Step 6: Final answer
    x = 425,118.60

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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.