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Finding the Fourth Proportional to 663,790, 916,099.32 and 409,134.64

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Solution

The fourth proportional to 663,790, 916,099.32 and 409,134.64 is: 564,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,790 : 916,099.32 = 409,134.64 : x
  2. Step 2: Convert to fraction form
    663,790/916,099.32 = 409,134.64/x
  3. Step 3: Cross multiply
    663,790x = 916,099.32 × 409,134.64
  4. Step 4: Simplify right side
    663,790x = 374,807,965,492.45
  5. Step 5: Solve for x
    x = 374,807,965,492.45/663,790
  6. Step 6: Final answer
    x = 564,648.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.