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Finding the Fourth Proportional to 390,506.28, 585,229.50 and 177,007.56

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Solution

The fourth proportional to 390,506.28, 585,229.50 and 177,007.56 is: 265,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,506.28 : 585,229.50 = 177,007.56 : x
  2. Step 2: Convert to fraction form
    390,506.28/585,229.50 = 177,007.56/x
  3. Step 3: Cross multiply
    390,506.28x = 585,229.50 × 177,007.56
  4. Step 4: Simplify right side
    390,506.28x = 103,590,045,835.02
  5. Step 5: Solve for x
    x = 103,590,045,835.02/390,506.28
  6. Step 6: Final answer
    x = 265,271.14

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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.