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Finding the Fourth Proportional to 384,039.02, 575,989.29 and 103,490.78

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Solution

The fourth proportional to 384,039.02, 575,989.29 and 103,490.78 is: 155,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,039.02 : 575,989.29 = 103,490.78 : x
  2. Step 2: Convert to fraction form
    384,039.02/575,989.29 = 103,490.78/x
  3. Step 3: Cross multiply
    384,039.02x = 575,989.29 × 103,490.78
  4. Step 4: Simplify right side
    384,039.02x = 59,609,580,893.75
  5. Step 5: Solve for x
    x = 59,609,580,893.75/384,039.02
  6. Step 6: Final answer
    x = 155,217.51

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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.