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Finding the Fourth Proportional to 458,668.17, 687,827.30 and 218,739.69

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Solution

The fourth proportional to 458,668.17, 687,827.30 and 218,739.69 is: 328,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,668.17 : 687,827.30 = 218,739.69 : x
  2. Step 2: Convert to fraction form
    458,668.17/687,827.30 = 218,739.69/x
  3. Step 3: Cross multiply
    458,668.17x = 687,827.30 × 218,739.69
  4. Step 4: Simplify right side
    458,668.17x = 150,455,129,281.84
  5. Step 5: Solve for x
    x = 150,455,129,281.84/458,668.17
  6. Step 6: Final answer
    x = 328,026.10

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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.