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Finding the Fourth Proportional to 553,172.49, 763,314.94 and 311,448.85

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Solution

The fourth proportional to 553,172.49, 763,314.94 and 311,448.85 is: 429,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,172.49 : 763,314.94 = 311,448.85 : x
  2. Step 2: Convert to fraction form
    553,172.49/763,314.94 = 311,448.85/x
  3. Step 3: Cross multiply
    553,172.49x = 763,314.94 × 311,448.85
  4. Step 4: Simplify right side
    553,172.49x = 237,733,558,731.84
  5. Step 5: Solve for x
    x = 237,733,558,731.84/553,172.49
  6. Step 6: Final answer
    x = 429,763.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.