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Finding the Fourth Proportional to 507,730.20, 761,754.47 and 305,546.91

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Solution

The fourth proportional to 507,730.20, 761,754.47 and 305,546.91 is: 458,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,730.20 : 761,754.47 = 305,546.91 : x
  2. Step 2: Convert to fraction form
    507,730.20/761,754.47 = 305,546.91/x
  3. Step 3: Cross multiply
    507,730.20x = 761,754.47 × 305,546.91
  4. Step 4: Simplify right side
    507,730.20x = 232,751,722,959.45
  5. Step 5: Solve for x
    x = 232,751,722,959.45/507,730.20
  6. Step 6: Final answer
    x = 458,416.15

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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.