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Finding the Fourth Proportional to 390,525.81, 585,578.06 and 177,177.30

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Solution

The fourth proportional to 390,525.81, 585,578.06 and 177,177.30 is: 265,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,525.81 : 585,578.06 = 177,177.30 : x
  2. Step 2: Convert to fraction form
    390,525.81/585,578.06 = 177,177.30/x
  3. Step 3: Cross multiply
    390,525.81x = 585,578.06 × 177,177.30
  4. Step 4: Simplify right side
    390,525.81x = 103,751,136,682.15
  5. Step 5: Solve for x
    x = 103,751,136,682.15/390,525.81
  6. Step 6: Final answer
    x = 265,670.37

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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.