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Finding the Fourth Proportional to 507,846.80, 761,251.80 and 297,376.40

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Solution

The fourth proportional to 507,846.80, 761,251.80 and 297,376.40 is: 445,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,846.80 : 761,251.80 = 297,376.40 : x
  2. Step 2: Convert to fraction form
    507,846.80/761,251.80 = 297,376.40/x
  3. Step 3: Cross multiply
    507,846.80x = 761,251.80 × 297,376.40
  4. Step 4: Simplify right side
    507,846.80x = 226,378,319,777.52
  5. Step 5: Solve for x
    x = 226,378,319,777.52/507,846.80
  6. Step 6: Final answer
    x = 445,761.04

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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.