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Finding the Fourth Proportional to 553,996.40, 831,650.70 and 314,301.20

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Solution

The fourth proportional to 553,996.40, 831,650.70 and 314,301.20 is: 471,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,996.40 : 831,650.70 = 314,301.20 : x
  2. Step 2: Convert to fraction form
    553,996.40/831,650.70 = 314,301.20/x
  3. Step 3: Cross multiply
    553,996.40x = 831,650.70 × 314,301.20
  4. Step 4: Simplify right side
    553,996.40x = 261,388,812,990.84
  5. Step 5: Solve for x
    x = 261,388,812,990.84/553,996.40
  6. Step 6: Final answer
    x = 471,824.03

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Why These Related Problems?

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