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Finding the Fourth Proportional to 509,903, 764,870.70 and 154,920.12

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Solution

The fourth proportional to 509,903, 764,870.70 and 154,920.12 is: 232,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,903 : 764,870.70 = 154,920.12 : x
  2. Step 2: Convert to fraction form
    509,903/764,870.70 = 154,920.12/x
  3. Step 3: Cross multiply
    509,903x = 764,870.70 × 154,920.12
  4. Step 4: Simplify right side
    509,903x = 118,493,860,628.48
  5. Step 5: Solve for x
    x = 118,493,860,628.48/509,903
  6. Step 6: Final answer
    x = 232,385.10

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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.