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Finding the Fourth Proportional to 709,368.10, 978,909.51 and 387,082.06

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Solution

The fourth proportional to 709,368.10, 978,909.51 and 387,082.06 is: 534,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,368.10 : 978,909.51 = 387,082.06 : x
  2. Step 2: Convert to fraction form
    709,368.10/978,909.51 = 387,082.06/x
  3. Step 3: Cross multiply
    709,368.10x = 978,909.51 × 387,082.06
  4. Step 4: Simplify right side
    709,368.10x = 378,918,309,684.39
  5. Step 5: Solve for x
    x = 378,918,309,684.39/709,368.10
  6. Step 6: Final answer
    x = 534,163.17

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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.