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Finding the Fourth Proportional to 507,349.42, 761,023.62 and 207,830.56

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Solution

The fourth proportional to 507,349.42, 761,023.62 and 207,830.56 is: 311,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,349.42 : 761,023.62 = 207,830.56 : x
  2. Step 2: Convert to fraction form
    507,349.42/761,023.62 = 207,830.56/x
  3. Step 3: Cross multiply
    507,349.42x = 761,023.62 × 207,830.56
  4. Step 4: Simplify right side
    507,349.42x = 158,163,965,117.83
  5. Step 5: Solve for x
    x = 158,163,965,117.83/507,349.42
  6. Step 6: Final answer
    x = 311,745.63

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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.