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Finding the Fourth Proportional to 391,102.02, 586,653.03 and 180,712.62

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Solution

The fourth proportional to 391,102.02, 586,653.03 and 180,712.62 is: 271,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,102.02 : 586,653.03 = 180,712.62 : x
  2. Step 2: Convert to fraction form
    391,102.02/586,653.03 = 180,712.62/x
  3. Step 3: Cross multiply
    391,102.02x = 586,653.03 × 180,712.62
  4. Step 4: Simplify right side
    391,102.02x = 106,015,606,082.24
  5. Step 5: Solve for x
    x = 106,015,606,082.24/391,102.02
  6. Step 6: Final answer
    x = 271,068.93

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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.