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Finding the Fourth Proportional to 531,172.60, 732,965.70 and 313,376.68

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Solution

The fourth proportional to 531,172.60, 732,965.70 and 313,376.68 is: 432,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,172.60 : 732,965.70 = 313,376.68 : x
  2. Step 2: Convert to fraction form
    531,172.60/732,965.70 = 313,376.68/x
  3. Step 3: Cross multiply
    531,172.60x = 732,965.70 × 313,376.68
  4. Step 4: Simplify right side
    531,172.60x = 229,694,357,619.88
  5. Step 5: Solve for x
    x = 229,694,357,619.88/531,172.60
  6. Step 6: Final answer
    x = 432,428.85

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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.