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Finding the Fourth Proportional to 295,238,978.80, 442,856,135.40 and 76,888,898.80

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Solution

The fourth proportional to 295,238,978.80, 442,856,135.40 and 76,888,898.80 is: 115,332,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,238,978.80 : 442,856,135.40 = 76,888,898.80 : x
  2. Step 2: Convert to fraction form
    295,238,978.80/442,856,135.40 = 76,888,898.80/x
  3. Step 3: Cross multiply
    295,238,978.80x = 442,856,135.40 × 76,888,898.80
  4. Step 4: Simplify right side
    295,238,978.80x = 34,050,720,577,729,696
  5. Step 5: Solve for x
    x = 34,050,720,577,729,696/295,238,978.80
  6. Step 6: Final answer
    x = 115,332,740.67

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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.