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Finding the Fourth Proportional to 486,368.64, 729,544.32 and 153,936

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Solution

The fourth proportional to 486,368.64, 729,544.32 and 153,936 is: 230,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,368.64 : 729,544.32 = 153,936 : x
  2. Step 2: Convert to fraction form
    486,368.64/729,544.32 = 153,936/x
  3. Step 3: Cross multiply
    486,368.64x = 729,544.32 × 153,936
  4. Step 4: Simplify right side
    486,368.64x = 112,303,134,443.52
  5. Step 5: Solve for x
    x = 112,303,134,443.52/486,368.64
  6. Step 6: Final answer
    x = 230,901.27

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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.