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Finding the Fourth Proportional to 385,111.62, 577,804.31 and 171,860.15

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Solution

The fourth proportional to 385,111.62, 577,804.31 and 171,860.15 is: 257,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,111.62 : 577,804.31 = 171,860.15 : x
  2. Step 2: Convert to fraction form
    385,111.62/577,804.31 = 171,860.15/x
  3. Step 3: Cross multiply
    385,111.62x = 577,804.31 × 171,860.15
  4. Step 4: Simplify right side
    385,111.62x = 99,301,531,638.92
  5. Step 5: Solve for x
    x = 99,301,531,638.92/385,111.62
  6. Step 6: Final answer
    x = 257,851.30

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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.