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Finding the Fourth Proportional to 853,666.40, 1,280,564.40 and 254,580.80

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Solution

The fourth proportional to 853,666.40, 1,280,564.40 and 254,580.80 is: 381,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,666.40 : 1,280,564.40 = 254,580.80 : x
  2. Step 2: Convert to fraction form
    853,666.40/1,280,564.40 = 254,580.80/x
  3. Step 3: Cross multiply
    853,666.40x = 1,280,564.40 × 254,580.80
  4. Step 4: Simplify right side
    853,666.40x = 326,007,109,403.52
  5. Step 5: Solve for x
    x = 326,007,109,403.52/853,666.40
  6. Step 6: Final answer
    x = 381,890.52

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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.