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Finding the Fourth Proportional to 551,465.10, 827,197.65 and 495,477.90

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Solution

The fourth proportional to 551,465.10, 827,197.65 and 495,477.90 is: 743,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,465.10 : 827,197.65 = 495,477.90 : x
  2. Step 2: Convert to fraction form
    551,465.10/827,197.65 = 495,477.90/x
  3. Step 3: Cross multiply
    551,465.10x = 827,197.65 × 495,477.90
  4. Step 4: Simplify right side
    551,465.10x = 409,858,154,506.94
  5. Step 5: Solve for x
    x = 409,858,154,506.94/551,465.10
  6. Step 6: Final answer
    x = 743,216.85

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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.