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Finding the Fourth Proportional to 385,232.40, 577,459.80 and 175,021.20

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Solution

The fourth proportional to 385,232.40, 577,459.80 and 175,021.20 is: 262,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,232.40 : 577,459.80 = 175,021.20 : x
  2. Step 2: Convert to fraction form
    385,232.40/577,459.80 = 175,021.20/x
  3. Step 3: Cross multiply
    385,232.40x = 577,459.80 × 175,021.20
  4. Step 4: Simplify right side
    385,232.40x = 101,067,707,147.76
  5. Step 5: Solve for x
    x = 101,067,707,147.76/385,232.40
  6. Step 6: Final answer
    x = 262,355.16

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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.