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Finding the Fourth Proportional to 486,364, 729,549.24 and 153,940

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Solution

The fourth proportional to 486,364, 729,549.24 and 153,940 is: 230,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,364 : 729,549.24 = 153,940 : x
  2. Step 2: Convert to fraction form
    486,364/729,549.24 = 153,940/x
  3. Step 3: Cross multiply
    486,364x = 729,549.24 × 153,940
  4. Step 4: Simplify right side
    486,364x = 112,306,810,005.60
  5. Step 5: Solve for x
    x = 112,306,810,005.60/486,364
  6. Step 6: Final answer
    x = 230,911.03

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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.