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Finding the Fourth Proportional to 514,782.30, 771,813.45 and 304,311.90

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Solution

The fourth proportional to 514,782.30, 771,813.45 and 304,311.90 is: 456,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,782.30 : 771,813.45 = 304,311.90 : x
  2. Step 2: Convert to fraction form
    514,782.30/771,813.45 = 304,311.90/x
  3. Step 3: Cross multiply
    514,782.30x = 771,813.45 × 304,311.90
  4. Step 4: Simplify right side
    514,782.30x = 234,872,017,415.06
  5. Step 5: Solve for x
    x = 234,872,017,415.06/514,782.30
  6. Step 6: Final answer
    x = 456,255.04

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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.