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Finding the Fourth Proportional to 445,814.63, 668,830.86 and 142,208.83

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Solution

The fourth proportional to 445,814.63, 668,830.86 and 142,208.83 is: 213,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,814.63 : 668,830.86 = 142,208.83 : x
  2. Step 2: Convert to fraction form
    445,814.63/668,830.86 = 142,208.83/x
  3. Step 3: Cross multiply
    445,814.63x = 668,830.86 × 142,208.83
  4. Step 4: Simplify right side
    445,814.63x = 95,113,654,904.53
  5. Step 5: Solve for x
    x = 95,113,654,904.53/445,814.63
  6. Step 6: Final answer
    x = 213,347.99

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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.