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Finding the Fourth Proportional to 531,214.92, 733,055.22 and 289,492.34

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Solution

The fourth proportional to 531,214.92, 733,055.22 and 289,492.34 is: 399,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,214.92 : 733,055.22 = 289,492.34 : x
  2. Step 2: Convert to fraction form
    531,214.92/733,055.22 = 289,492.34/x
  3. Step 3: Cross multiply
    531,214.92x = 733,055.22 × 289,492.34
  4. Step 4: Simplify right side
    531,214.92x = 212,213,870,987.02
  5. Step 5: Solve for x
    x = 212,213,870,987.02/531,214.92
  6. Step 6: Final answer
    x = 399,487.78

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1.5x scale

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.