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Finding the Fourth Proportional to 1,432,855.72, 1,977,623.54 and 821,419.06

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Solution

The fourth proportional to 1,432,855.72, 1,977,623.54 and 821,419.06 is: 1,133,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,855.72 : 1,977,623.54 = 821,419.06 : x
  2. Step 2: Convert to fraction form
    1,432,855.72/1,977,623.54 = 821,419.06/x
  3. Step 3: Cross multiply
    1,432,855.72x = 1,977,623.54 × 821,419.06
  4. Step 4: Simplify right side
    1,432,855.72x = 1,624,457,669,260.67
  5. Step 5: Solve for x
    x = 1,624,457,669,260.67/1,432,855.72
  6. Step 6: Final answer
    x = 1,133,720.34

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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.