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Finding the Fourth Proportional to 1,580,742.80, 2,364,115.80 and 1,328,800.40

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Solution

The fourth proportional to 1,580,742.80, 2,364,115.80 and 1,328,800.40 is: 1,987,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,742.80 : 2,364,115.80 = 1,328,800.40 : x
  2. Step 2: Convert to fraction form
    1,580,742.80/2,364,115.80 = 1,328,800.40/x
  3. Step 3: Cross multiply
    1,580,742.80x = 2,364,115.80 × 1,328,800.40
  4. Step 4: Simplify right side
    1,580,742.80x = 3,141,438,020,686.32
  5. Step 5: Solve for x
    x = 3,141,438,020,686.32/1,580,742.80
  6. Step 6: Final answer
    x = 1,987,317.62

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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.