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Finding the Fourth Proportional to 652,111.80, 978,459.30 and 315,022.20

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Solution

The fourth proportional to 652,111.80, 978,459.30 and 315,022.20 is: 472,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,111.80 : 978,459.30 = 315,022.20 : x
  2. Step 2: Convert to fraction form
    652,111.80/978,459.30 = 315,022.20/x
  3. Step 3: Cross multiply
    652,111.80x = 978,459.30 × 315,022.20
  4. Step 4: Simplify right side
    652,111.80x = 308,236,401,296.46
  5. Step 5: Solve for x
    x = 308,236,401,296.46/652,111.80
  6. Step 6: Final answer
    x = 472,674.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.