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Finding the Fourth Proportional to 442,681.86, 664,059.28 and 143,210.54

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Solution

The fourth proportional to 442,681.86, 664,059.28 and 143,210.54 is: 214,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,681.86 : 664,059.28 = 143,210.54 : x
  2. Step 2: Convert to fraction form
    442,681.86/664,059.28 = 143,210.54/x
  3. Step 3: Cross multiply
    442,681.86x = 664,059.28 × 143,210.54
  4. Step 4: Simplify right side
    442,681.86x = 95,100,288,080.81
  5. Step 5: Solve for x
    x = 95,100,288,080.81/442,681.86
  6. Step 6: Final answer
    x = 214,827.61

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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.