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Finding the Fourth Proportional to 385,202.94, 577,927.43 and 185,543.51

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Solution

The fourth proportional to 385,202.94, 577,927.43 and 185,543.51 is: 278,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,202.94 : 577,927.43 = 185,543.51 : x
  2. Step 2: Convert to fraction form
    385,202.94/577,927.43 = 185,543.51/x
  3. Step 3: Cross multiply
    385,202.94x = 577,927.43 × 185,543.51
  4. Step 4: Simplify right side
    385,202.94x = 107,230,684,538.60
  5. Step 5: Solve for x
    x = 107,230,684,538.60/385,202.94
  6. Step 6: Final answer
    x = 278,374.52

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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.