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Finding the Fourth Proportional to 513,506.40, 769,618.08 and 354,467.76

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Solution

The fourth proportional to 513,506.40, 769,618.08 and 354,467.76 is: 531,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,506.40 : 769,618.08 = 354,467.76 : x
  2. Step 2: Convert to fraction form
    513,506.40/769,618.08 = 354,467.76/x
  3. Step 3: Cross multiply
    513,506.40x = 769,618.08 × 354,467.76
  4. Step 4: Simplify right side
    513,506.40x = 272,804,796,873.10
  5. Step 5: Solve for x
    x = 272,804,796,873.10/513,506.40
  6. Step 6: Final answer
    x = 531,258.81

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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.