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Finding the Fourth Proportional to 577,148, 796,461.78 and 322,499.18

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Solution

The fourth proportional to 577,148, 796,461.78 and 322,499.18 is: 445,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,148 : 796,461.78 = 322,499.18 : x
  2. Step 2: Convert to fraction form
    577,148/796,461.78 = 322,499.18/x
  3. Step 3: Cross multiply
    577,148x = 796,461.78 × 322,499.18
  4. Step 4: Simplify right side
    577,148x = 256,858,270,951.34
  5. Step 5: Solve for x
    x = 256,858,270,951.34/577,148
  6. Step 6: Final answer
    x = 445,047.49

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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.