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Finding the Fourth Proportional to 1,287,745.10, 1,931,617.65 and 814,964.30

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Solution

The fourth proportional to 1,287,745.10, 1,931,617.65 and 814,964.30 is: 1,222,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,745.10 : 1,931,617.65 = 814,964.30 : x
  2. Step 2: Convert to fraction form
    1,287,745.10/1,931,617.65 = 814,964.30/x
  3. Step 3: Cross multiply
    1,287,745.10x = 1,931,617.65 × 814,964.30
  4. Step 4: Simplify right side
    1,287,745.10x = 1,574,199,425,999.90
  5. Step 5: Solve for x
    x = 1,574,199,425,999.90/1,287,745.10
  6. Step 6: Final answer
    x = 1,222,446.45

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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.