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Finding the Fourth Proportional to 659,223, 988,248.06 and 238,405.32

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Solution

The fourth proportional to 659,223, 988,248.06 and 238,405.32 is: 357,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,223 : 988,248.06 = 238,405.32 : x
  2. Step 2: Convert to fraction form
    659,223/988,248.06 = 238,405.32/x
  3. Step 3: Cross multiply
    659,223x = 988,248.06 × 238,405.32
  4. Step 4: Simplify right side
    659,223x = 235,603,594,983.68
  5. Step 5: Solve for x
    x = 235,603,594,983.68/659,223
  6. Step 6: Final answer
    x = 357,395.90

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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.