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Finding the Fourth Proportional to 288,933,458.40, 433,400,187.60 and 135,878,450.40

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Solution

The fourth proportional to 288,933,458.40, 433,400,187.60 and 135,878,450.40 is: 203,817,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,933,458.40 : 433,400,187.60 = 135,878,450.40 : x
  2. Step 2: Convert to fraction form
    288,933,458.40/433,400,187.60 = 135,878,450.40/x
  3. Step 3: Cross multiply
    288,933,458.40x = 433,400,187.60 × 135,878,450.40
  4. Step 4: Simplify right side
    288,933,458.40x = 58,889,745,894,157,304
  5. Step 5: Solve for x
    x = 58,889,745,894,157,304/288,933,458.40
  6. Step 6: Final answer
    x = 203,817,675.60

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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.