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Finding the Fourth Proportional to 387,038.16, 580,578.84 and 120,835.44

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Solution

The fourth proportional to 387,038.16, 580,578.84 and 120,835.44 is: 181,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,038.16 : 580,578.84 = 120,835.44 : x
  2. Step 2: Convert to fraction form
    387,038.16/580,578.84 = 120,835.44/x
  3. Step 3: Cross multiply
    387,038.16x = 580,578.84 × 120,835.44
  4. Step 4: Simplify right side
    387,038.16x = 70,154,499,586.09
  5. Step 5: Solve for x
    x = 70,154,499,586.09/387,038.16
  6. Step 6: Final answer
    x = 181,259.90

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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.