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Finding the Fourth Proportional to 756,829, 1,133,958.80 and 456,678.88

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Solution

The fourth proportional to 756,829, 1,133,958.80 and 456,678.88 is: 684,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,829 : 1,133,958.80 = 456,678.88 : x
  2. Step 2: Convert to fraction form
    756,829/1,133,958.80 = 456,678.88/x
  3. Step 3: Cross multiply
    756,829x = 1,133,958.80 × 456,678.88
  4. Step 4: Simplify right side
    756,829x = 517,855,034,750.14
  5. Step 5: Solve for x
    x = 517,855,034,750.14/756,829
  6. Step 6: Final answer
    x = 684,243.12

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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.