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Finding the Fourth Proportional to 528,536.14, 729,372 and 310,769.42

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Solution

The fourth proportional to 528,536.14, 729,372 and 310,769.42 is: 428,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,536.14 : 729,372 = 310,769.42 : x
  2. Step 2: Convert to fraction form
    528,536.14/729,372 = 310,769.42/x
  3. Step 3: Cross multiply
    528,536.14x = 729,372 × 310,769.42
  4. Step 4: Simplify right side
    528,536.14x = 226,666,513,404.24
  5. Step 5: Solve for x
    x = 226,666,513,404.24/528,536.14
  6. Step 6: Final answer
    x = 428,857.17

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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.