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Finding the Fourth Proportional to 531,457.70, 734,723.81 and 509,150.30

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Solution

The fourth proportional to 531,457.70, 734,723.81 and 509,150.30 is: 703,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,457.70 : 734,723.81 = 509,150.30 : x
  2. Step 2: Convert to fraction form
    531,457.70/734,723.81 = 509,150.30/x
  3. Step 3: Cross multiply
    531,457.70x = 734,723.81 × 509,150.30
  4. Step 4: Simplify right side
    531,457.70x = 374,084,842,059.27
  5. Step 5: Solve for x
    x = 374,084,842,059.27/531,457.70
  6. Step 6: Final answer
    x = 703,884.52

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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.