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Finding the Fourth Proportional to 709,325.48, 978,864.12 and 403,401.96

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Solution

The fourth proportional to 709,325.48, 978,864.12 and 403,401.96 is: 556,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,325.48 : 978,864.12 = 403,401.96 : x
  2. Step 2: Convert to fraction form
    709,325.48/978,864.12 = 403,401.96/x
  3. Step 3: Cross multiply
    709,325.48x = 978,864.12 × 403,401.96
  4. Step 4: Simplify right side
    709,325.48x = 394,875,704,581.68
  5. Step 5: Solve for x
    x = 394,875,704,581.68/709,325.48
  6. Step 6: Final answer
    x = 556,691.84

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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.