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Finding the Fourth Proportional to 496,702.80, 745,209.72 and 319,410

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Solution

The fourth proportional to 496,702.80, 745,209.72 and 319,410 is: 479,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,702.80 : 745,209.72 = 319,410 : x
  2. Step 2: Convert to fraction form
    496,702.80/745,209.72 = 319,410/x
  3. Step 3: Cross multiply
    496,702.80x = 745,209.72 × 319,410
  4. Step 4: Simplify right side
    496,702.80x = 238,027,436,665.20
  5. Step 5: Solve for x
    x = 238,027,436,665.20/496,702.80
  6. Step 6: Final answer
    x = 479,215.01

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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.