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Finding the Fourth Proportional to 507,077.64, 760,718.64 and 187,231.56

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Solution

The fourth proportional to 507,077.64, 760,718.64 and 187,231.56 is: 280,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,077.64 : 760,718.64 = 187,231.56 : x
  2. Step 2: Convert to fraction form
    507,077.64/760,718.64 = 187,231.56/x
  3. Step 3: Cross multiply
    507,077.64x = 760,718.64 × 187,231.56
  4. Step 4: Simplify right side
    507,077.64x = 142,430,537,688.28
  5. Step 5: Solve for x
    x = 142,430,537,688.28/507,077.64
  6. Step 6: Final answer
    x = 280,885.07

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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.