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Finding the Fourth Proportional to 506,812.40, 759,418.34 and 411,579.18

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Solution

The fourth proportional to 506,812.40, 759,418.34 and 411,579.18 is: 616,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,812.40 : 759,418.34 = 411,579.18 : x
  2. Step 2: Convert to fraction form
    506,812.40/759,418.34 = 411,579.18/x
  3. Step 3: Cross multiply
    506,812.40x = 759,418.34 × 411,579.18
  4. Step 4: Simplify right side
    506,812.40x = 312,560,775,596.27
  5. Step 5: Solve for x
    x = 312,560,775,596.27/506,812.40
  6. Step 6: Final answer
    x = 616,718.88

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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.