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Finding the Fourth Proportional to 387,584.40, 580,064.40 and 340,345.20

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Solution

The fourth proportional to 387,584.40, 580,064.40 and 340,345.20 is: 509,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,584.40 : 580,064.40 = 340,345.20 : x
  2. Step 2: Convert to fraction form
    387,584.40/580,064.40 = 340,345.20/x
  3. Step 3: Cross multiply
    387,584.40x = 580,064.40 × 340,345.20
  4. Step 4: Simplify right side
    387,584.40x = 197,422,134,230.88
  5. Step 5: Solve for x
    x = 197,422,134,230.88/387,584.40
  6. Step 6: Final answer
    x = 509,365.53

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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.