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Finding the Fourth Proportional to 312,176.80, 468,265.20 and 307,511.20

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Solution

The fourth proportional to 312,176.80, 468,265.20 and 307,511.20 is: 461,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,176.80 : 468,265.20 = 307,511.20 : x
  2. Step 2: Convert to fraction form
    312,176.80/468,265.20 = 307,511.20/x
  3. Step 3: Cross multiply
    312,176.80x = 468,265.20 × 307,511.20
  4. Step 4: Simplify right side
    312,176.80x = 143,996,793,570.24
  5. Step 5: Solve for x
    x = 143,996,793,570.24/312,176.80
  6. Step 6: Final answer
    x = 461,266.80

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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.