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Finding the Fourth Proportional to 403,466.49, 605,279.93 and 137,155.50

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Solution

The fourth proportional to 403,466.49, 605,279.93 and 137,155.50 is: 205,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,466.49 : 605,279.93 = 137,155.50 : x
  2. Step 2: Convert to fraction form
    403,466.49/605,279.93 = 137,155.50/x
  3. Step 3: Cross multiply
    403,466.49x = 605,279.93 × 137,155.50
  4. Step 4: Simplify right side
    403,466.49x = 83,017,470,753.34
  5. Step 5: Solve for x
    x = 83,017,470,753.34/403,466.49
  6. Step 6: Final answer
    x = 205,760.51

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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.