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Finding the Fourth Proportional to 531,679.72, 733,688.72 and 302,205.10

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Solution

The fourth proportional to 531,679.72, 733,688.72 and 302,205.10 is: 417,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,679.72 : 733,688.72 = 302,205.10 : x
  2. Step 2: Convert to fraction form
    531,679.72/733,688.72 = 302,205.10/x
  3. Step 3: Cross multiply
    531,679.72x = 733,688.72 × 302,205.10
  4. Step 4: Simplify right side
    531,679.72x = 221,724,472,996.47
  5. Step 5: Solve for x
    x = 221,724,472,996.47/531,679.72
  6. Step 6: Final answer
    x = 417,026.39

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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.