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Finding the Fourth Proportional to 551,465.42, 827,609.88 and 409,638.20

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Solution

The fourth proportional to 551,465.42, 827,609.88 and 409,638.20 is: 614,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,465.42 : 827,609.88 = 409,638.20 : x
  2. Step 2: Convert to fraction form
    551,465.42/827,609.88 = 409,638.20/x
  3. Step 3: Cross multiply
    551,465.42x = 827,609.88 × 409,638.20
  4. Step 4: Simplify right side
    551,465.42x = 339,020,621,545.42
  5. Step 5: Solve for x
    x = 339,020,621,545.42/551,465.42
  6. Step 6: Final answer
    x = 614,763.16

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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.