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Finding the Fourth Proportional to 486,076, 729,438 and 186,803.68

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Solution

The fourth proportional to 486,076, 729,438 and 186,803.68 is: 280,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,076 : 729,438 = 186,803.68 : x
  2. Step 2: Convert to fraction form
    486,076/729,438 = 186,803.68/x
  3. Step 3: Cross multiply
    486,076x = 729,438 × 186,803.68
  4. Step 4: Simplify right side
    486,076x = 136,261,702,731.84
  5. Step 5: Solve for x
    x = 136,261,702,731.84/486,076
  6. Step 6: Final answer
    x = 280,330.04

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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.