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Finding the Fourth Proportional to 783,870.20, 1,081,684.87 and 435,029.32

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Solution

The fourth proportional to 783,870.20, 1,081,684.87 and 435,029.32 is: 600,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,870.20 : 1,081,684.87 = 435,029.32 : x
  2. Step 2: Convert to fraction form
    783,870.20/1,081,684.87 = 435,029.32/x
  3. Step 3: Cross multiply
    783,870.20x = 1,081,684.87 × 435,029.32
  4. Step 4: Simplify right side
    783,870.20x = 470,564,633,450.39
  5. Step 5: Solve for x
    x = 470,564,633,450.39/783,870.20
  6. Step 6: Final answer
    x = 600,309.38

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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.