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Finding the Fourth Proportional to 215,870.84, 323,225.10 and 140,804.84

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Solution

The fourth proportional to 215,870.84, 323,225.10 and 140,804.84 is: 210,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,870.84 : 323,225.10 = 140,804.84 : x
  2. Step 2: Convert to fraction form
    215,870.84/323,225.10 = 140,804.84/x
  3. Step 3: Cross multiply
    215,870.84x = 323,225.10 × 140,804.84
  4. Step 4: Simplify right side
    215,870.84x = 45,511,658,489.48
  5. Step 5: Solve for x
    x = 45,511,658,489.48/215,870.84
  6. Step 6: Final answer
    x = 210,828.19

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1.5x scale

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.