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Finding the Fourth Proportional to 385,095.35, 577,431.52 and 118,781.93

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Solution

The fourth proportional to 385,095.35, 577,431.52 and 118,781.93 is: 178,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,095.35 : 577,431.52 = 118,781.93 : x
  2. Step 2: Convert to fraction form
    385,095.35/577,431.52 = 118,781.93/x
  3. Step 3: Cross multiply
    385,095.35x = 577,431.52 × 118,781.93
  4. Step 4: Simplify right side
    385,095.35x = 68,588,427,204.32
  5. Step 5: Solve for x
    x = 68,588,427,204.32/385,095.35
  6. Step 6: Final answer
    x = 178,107.65

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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.