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Finding the Fourth Proportional to 551,808, 827,712 and 157,824

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Solution

The fourth proportional to 551,808, 827,712 and 157,824 is: 236,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,808 : 827,712 = 157,824 : x
  2. Step 2: Convert to fraction form
    551,808/827,712 = 157,824/x
  3. Step 3: Cross multiply
    551,808x = 827,712 × 157,824
  4. Step 4: Simplify right side
    551,808x = 130,632,818,688
  5. Step 5: Solve for x
    x = 130,632,818,688/551,808
  6. Step 6: Final answer
    x = 236,736

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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.