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Finding the Fourth Proportional to 531,172.40, 733,008.80 and 289,457.06

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Solution

The fourth proportional to 531,172.40, 733,008.80 and 289,457.06 is: 399,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,172.40 : 733,008.80 = 289,457.06 : x
  2. Step 2: Convert to fraction form
    531,172.40/733,008.80 = 289,457.06/x
  3. Step 3: Cross multiply
    531,172.40x = 733,008.80 × 289,457.06
  4. Step 4: Simplify right side
    531,172.40x = 212,174,572,202.13
  5. Step 5: Solve for x
    x = 212,174,572,202.13/531,172.40
  6. Step 6: Final answer
    x = 399,445.78

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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.