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Finding the Fourth Proportional to 513,101.40, 769,652.10 and 213,482.40

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Solution

The fourth proportional to 513,101.40, 769,652.10 and 213,482.40 is: 320,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,101.40 : 769,652.10 = 213,482.40 : x
  2. Step 2: Convert to fraction form
    513,101.40/769,652.10 = 213,482.40/x
  3. Step 3: Cross multiply
    513,101.40x = 769,652.10 × 213,482.40
  4. Step 4: Simplify right side
    513,101.40x = 164,307,177,473.04
  5. Step 5: Solve for x
    x = 164,307,177,473.04/513,101.40
  6. Step 6: Final answer
    x = 320,223.60

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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.