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Finding the Fourth Proportional to 409,598, 614,428.11 and 139,642.28

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Solution

The fourth proportional to 409,598, 614,428.11 and 139,642.28 is: 209,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,598 : 614,428.11 = 139,642.28 : x
  2. Step 2: Convert to fraction form
    409,598/614,428.11 = 139,642.28/x
  3. Step 3: Cross multiply
    409,598x = 614,428.11 × 139,642.28
  4. Step 4: Simplify right side
    409,598x = 85,800,142,176.49
  5. Step 5: Solve for x
    x = 85,800,142,176.49/409,598
  6. Step 6: Final answer
    x = 209,474.03

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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.