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Finding the Fourth Proportional to 260,489.49, 390,470.71 and 102,828.93

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Solution

The fourth proportional to 260,489.49, 390,470.71 and 102,828.93 is: 154,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,489.49 : 390,470.71 = 102,828.93 : x
  2. Step 2: Convert to fraction form
    260,489.49/390,470.71 = 102,828.93/x
  3. Step 3: Cross multiply
    260,489.49x = 390,470.71 × 102,828.93
  4. Step 4: Simplify right side
    260,489.49x = 40,151,685,305.64
  5. Step 5: Solve for x
    x = 40,151,685,305.64/260,489.49
  6. Step 6: Final answer
    x = 154,139.37

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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.