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Finding the Fourth Proportional to 553,604.85, 829,963.80 and 509,318.10

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Solution

The fourth proportional to 553,604.85, 829,963.80 and 509,318.10 is: 763,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,604.85 : 829,963.80 = 509,318.10 : x
  2. Step 2: Convert to fraction form
    553,604.85/829,963.80 = 509,318.10/x
  3. Step 3: Cross multiply
    553,604.85x = 829,963.80 × 509,318.10
  4. Step 4: Simplify right side
    553,604.85x = 422,715,585,684.78
  5. Step 5: Solve for x
    x = 422,715,585,684.78/553,604.85
  6. Step 6: Final answer
    x = 763,569.15

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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.