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Finding the Fourth Proportional to 486,584.64, 729,868.32 and 154,152

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Solution

The fourth proportional to 486,584.64, 729,868.32 and 154,152 is: 231,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,584.64 : 729,868.32 = 154,152 : x
  2. Step 2: Convert to fraction form
    486,584.64/729,868.32 = 154,152/x
  3. Step 3: Cross multiply
    486,584.64x = 729,868.32 × 154,152
  4. Step 4: Simplify right side
    486,584.64x = 112,510,661,264.64
  5. Step 5: Solve for x
    x = 112,510,661,264.64/486,584.64
  6. Step 6: Final answer
    x = 231,225.26

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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.