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Finding the Fourth Proportional to 514,765.80, 771,788.70 and 304,295.40

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Solution

The fourth proportional to 514,765.80, 771,788.70 and 304,295.40 is: 456,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,765.80 : 771,788.70 = 304,295.40 : x
  2. Step 2: Convert to fraction form
    514,765.80/771,788.70 = 304,295.40/x
  3. Step 3: Cross multiply
    514,765.80x = 771,788.70 × 304,295.40
  4. Step 4: Simplify right side
    514,765.80x = 234,851,751,181.98
  5. Step 5: Solve for x
    x = 234,851,751,181.98/514,765.80
  6. Step 6: Final answer
    x = 456,230.29

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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.