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Finding the Fourth Proportional to 438,510.40, 657,651.44 and 185,660.76

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Solution

The fourth proportional to 438,510.40, 657,651.44 and 185,660.76 is: 278,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,510.40 : 657,651.44 = 185,660.76 : x
  2. Step 2: Convert to fraction form
    438,510.40/657,651.44 = 185,660.76/x
  3. Step 3: Cross multiply
    438,510.40x = 657,651.44 × 185,660.76
  4. Step 4: Simplify right side
    438,510.40x = 122,100,066,165.49
  5. Step 5: Solve for x
    x = 122,100,066,165.49/438,510.40
  6. Step 6: Final answer
    x = 278,442.81

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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.