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Finding the Fourth Proportional to 586,635.46, 809,568.42 and 382,816.78

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Solution

The fourth proportional to 586,635.46, 809,568.42 and 382,816.78 is: 528,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,635.46 : 809,568.42 = 382,816.78 : x
  2. Step 2: Convert to fraction form
    586,635.46/809,568.42 = 382,816.78/x
  3. Step 3: Cross multiply
    586,635.46x = 809,568.42 × 382,816.78
  4. Step 4: Simplify right side
    586,635.46x = 309,916,371,686.25
  5. Step 5: Solve for x
    x = 309,916,371,686.25/586,635.46
  6. Step 6: Final answer
    x = 528,294.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.