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Finding the Fourth Proportional to 387,907.83, 580,617.20 and 207,542.07

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Solution

The fourth proportional to 387,907.83, 580,617.20 and 207,542.07 is: 310,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,907.83 : 580,617.20 = 207,542.07 : x
  2. Step 2: Convert to fraction form
    387,907.83/580,617.20 = 207,542.07/x
  3. Step 3: Cross multiply
    387,907.83x = 580,617.20 × 207,542.07
  4. Step 4: Simplify right side
    387,907.83x = 120,502,494,527.89
  5. Step 5: Solve for x
    x = 120,502,494,527.89/387,907.83
  6. Step 6: Final answer
    x = 310,647.23

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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.