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Finding the Fourth Proportional to 207,587.40, 311,380.98 and 148,538.40

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Solution

The fourth proportional to 207,587.40, 311,380.98 and 148,538.40 is: 222,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,587.40 : 311,380.98 = 148,538.40 : x
  2. Step 2: Convert to fraction form
    207,587.40/311,380.98 = 148,538.40/x
  3. Step 3: Cross multiply
    207,587.40x = 311,380.98 × 148,538.40
  4. Step 4: Simplify right side
    207,587.40x = 46,252,032,559.63
  5. Step 5: Solve for x
    x = 46,252,032,559.63/207,587.40
  6. Step 6: Final answer
    x = 222,807.51

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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.