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Finding the Fourth Proportional to 531,020.49, 732,806.08 and 289,302.32

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Solution

The fourth proportional to 531,020.49, 732,806.08 and 289,302.32 is: 399,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,020.49 : 732,806.08 = 289,302.32 : x
  2. Step 2: Convert to fraction form
    531,020.49/732,806.08 = 289,302.32/x
  3. Step 3: Cross multiply
    531,020.49x = 732,806.08 × 289,302.32
  4. Step 4: Simplify right side
    531,020.49x = 212,002,499,054.11
  5. Step 5: Solve for x
    x = 212,002,499,054.11/531,020.49
  6. Step 6: Final answer
    x = 399,236.01

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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.