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Finding the Fourth Proportional to 551,433.18, 827,384.88 and 311,580.03

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Solution

The fourth proportional to 551,433.18, 827,384.88 and 311,580.03 is: 467,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,433.18 : 827,384.88 = 311,580.03 : x
  2. Step 2: Convert to fraction form
    551,433.18/827,384.88 = 311,580.03/x
  3. Step 3: Cross multiply
    551,433.18x = 827,384.88 × 311,580.03
  4. Step 4: Simplify right side
    551,433.18x = 257,796,605,731.95
  5. Step 5: Solve for x
    x = 257,796,605,731.95/551,433.18
  6. Step 6: Final answer
    x = 467,502.89

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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.