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Finding the Fourth Proportional to 387,075.30, 580,612.99 and 120,858.61

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Solution

The fourth proportional to 387,075.30, 580,612.99 and 120,858.61 is: 181,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,075.30 : 580,612.99 = 120,858.61 : x
  2. Step 2: Convert to fraction form
    387,075.30/580,612.99 = 120,858.61/x
  3. Step 3: Cross multiply
    387,075.30x = 580,612.99 × 120,858.61
  4. Step 4: Simplify right side
    387,075.30x = 70,172,078,919.34
  5. Step 5: Solve for x
    x = 70,172,078,919.34/387,075.30
  6. Step 6: Final answer
    x = 181,287.93

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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.