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Finding the Fourth Proportional to 663,789, 916,097.94 and 409,133.64

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Solution

The fourth proportional to 663,789, 916,097.94 and 409,133.64 is: 564,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,789 : 916,097.94 = 409,133.64 : x
  2. Step 2: Convert to fraction form
    663,789/916,097.94 = 409,133.64/x
  3. Step 3: Cross multiply
    663,789x = 916,097.94 × 409,133.64
  4. Step 4: Simplify right side
    663,789x = 374,806,484,788.70
  5. Step 5: Solve for x
    x = 374,806,484,788.70/663,789
  6. Step 6: Final answer
    x = 564,647.03

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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.