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Finding the Fourth Proportional to 390,721.44, 586,155.12 and 177,504.32

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Solution

The fourth proportional to 390,721.44, 586,155.12 and 177,504.32 is: 266,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,721.44 : 586,155.12 = 177,504.32 : x
  2. Step 2: Convert to fraction form
    390,721.44/586,155.12 = 177,504.32/x
  3. Step 3: Cross multiply
    390,721.44x = 586,155.12 × 177,504.32
  4. Step 4: Simplify right side
    390,721.44x = 104,045,065,990.12
  5. Step 5: Solve for x
    x = 104,045,065,990.12/390,721.44
  6. Step 6: Final answer
    x = 266,289.63

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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.