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Finding the Fourth Proportional to 507,956.78, 761,266.62 and 283,422.92

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Solution

The fourth proportional to 507,956.78, 761,266.62 and 283,422.92 is: 424,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,956.78 : 761,266.62 = 283,422.92 : x
  2. Step 2: Convert to fraction form
    507,956.78/761,266.62 = 283,422.92/x
  3. Step 3: Cross multiply
    507,956.78x = 761,266.62 × 283,422.92
  4. Step 4: Simplify right side
    507,956.78x = 215,760,408,338.93
  5. Step 5: Solve for x
    x = 215,760,408,338.93/507,956.78
  6. Step 6: Final answer
    x = 424,761.35

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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.