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Finding the Fourth Proportional to 531,102.59, 732,912.30 and 289,387.16

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Solution

The fourth proportional to 531,102.59, 732,912.30 and 289,387.16 is: 399,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,102.59 : 732,912.30 = 289,387.16 : x
  2. Step 2: Convert to fraction form
    531,102.59/732,912.30 = 289,387.16/x
  3. Step 3: Cross multiply
    531,102.59x = 732,912.30 × 289,387.16
  4. Step 4: Simplify right side
    531,102.59x = 212,095,405,361.51
  5. Step 5: Solve for x
    x = 212,095,405,361.51/531,102.59
  6. Step 6: Final answer
    x = 399,349.22

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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.