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Finding the Fourth Proportional to 295,091,992.80, 442,921,424.40 and 149,689,735.20

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Solution

The fourth proportional to 295,091,992.80, 442,921,424.40 and 149,689,735.20 is: 224,678,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,091,992.80 : 442,921,424.40 = 149,689,735.20 : x
  2. Step 2: Convert to fraction form
    295,091,992.80/442,921,424.40 = 149,689,735.20/x
  3. Step 3: Cross multiply
    295,091,992.80x = 442,921,424.40 × 149,689,735.20
  4. Step 4: Simplify right side
    295,091,992.80x = 66,300,790,732,842,808
  5. Step 5: Solve for x
    x = 66,300,790,732,842,808/295,091,992.80
  6. Step 6: Final answer
    x = 224,678,379.46

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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.