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Finding the Fourth Proportional to 531,678.22, 733,686.68 and 302,203.60

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Solution

The fourth proportional to 531,678.22, 733,686.68 and 302,203.60 is: 417,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,678.22 : 733,686.68 = 302,203.60 : x
  2. Step 2: Convert to fraction form
    531,678.22/733,686.68 = 302,203.60/x
  3. Step 3: Cross multiply
    531,678.22x = 733,686.68 × 302,203.60
  4. Step 4: Simplify right side
    531,678.22x = 221,722,754,889.34
  5. Step 5: Solve for x
    x = 221,722,754,889.34/531,678.22
  6. Step 6: Final answer
    x = 417,024.33

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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.