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Finding the Fourth Proportional to 324,417.28, 486,625.92 and 102,784

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Solution

The fourth proportional to 324,417.28, 486,625.92 and 102,784 is: 154,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,417.28 : 486,625.92 = 102,784 : x
  2. Step 2: Convert to fraction form
    324,417.28/486,625.92 = 102,784/x
  3. Step 3: Cross multiply
    324,417.28x = 486,625.92 × 102,784
  4. Step 4: Simplify right side
    324,417.28x = 50,017,358,561.28
  5. Step 5: Solve for x
    x = 50,017,358,561.28/324,417.28
  6. Step 6: Final answer
    x = 154,176.00

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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.