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Finding the Fourth Proportional to 765,576, 1,147,977.90 and 445,831.20

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Solution

The fourth proportional to 765,576, 1,147,977.90 and 445,831.20 is: 668,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,576 : 1,147,977.90 = 445,831.20 : x
  2. Step 2: Convert to fraction form
    765,576/1,147,977.90 = 445,831.20/x
  3. Step 3: Cross multiply
    765,576x = 1,147,977.90 × 445,831.20
  4. Step 4: Simplify right side
    765,576x = 511,804,364,730.48
  5. Step 5: Solve for x
    x = 511,804,364,730.48/765,576
  6. Step 6: Final answer
    x = 668,521.96

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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.