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Finding the Fourth Proportional to 390,526.31, 585,578.81 and 177,177.80

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Solution

The fourth proportional to 390,526.31, 585,578.81 and 177,177.80 is: 265,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,526.31 : 585,578.81 = 177,177.80 : x
  2. Step 2: Convert to fraction form
    390,526.31/585,578.81 = 177,177.80/x
  3. Step 3: Cross multiply
    390,526.31x = 585,578.81 × 177,177.80
  4. Step 4: Simplify right side
    390,526.31x = 103,751,562,354.52
  5. Step 5: Solve for x
    x = 103,751,562,354.52/390,526.31
  6. Step 6: Final answer
    x = 265,671.12

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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.