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Finding the Fourth Proportional to 507,141.25, 760,427.30 and 347,397.73

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Solution

The fourth proportional to 507,141.25, 760,427.30 and 347,397.73 is: 520,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,141.25 : 760,427.30 = 347,397.73 : x
  2. Step 2: Convert to fraction form
    507,141.25/760,427.30 = 347,397.73/x
  3. Step 3: Cross multiply
    507,141.25x = 760,427.30 × 347,397.73
  4. Step 4: Simplify right side
    507,141.25x = 264,170,716,113.04
  5. Step 5: Solve for x
    x = 264,170,716,113.04/507,141.25
  6. Step 6: Final answer
    x = 520,901.65

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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.