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Finding the Fourth Proportional to 387,008, 580,486.08 and 106,527.68

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Solution

The fourth proportional to 387,008, 580,486.08 and 106,527.68 is: 159,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,008 : 580,486.08 = 106,527.68 : x
  2. Step 2: Convert to fraction form
    387,008/580,486.08 = 106,527.68/x
  3. Step 3: Cross multiply
    387,008x = 580,486.08 × 106,527.68
  4. Step 4: Simplify right side
    387,008x = 61,837,835,374.69
  5. Step 5: Solve for x
    x = 61,837,835,374.69/387,008
  6. Step 6: Final answer
    x = 159,784.39

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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.