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Finding the Fourth Proportional to 357,424.40, 493,356.40 and 230,100

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Solution

The fourth proportional to 357,424.40, 493,356.40 and 230,100 is: 317,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,424.40 : 493,356.40 = 230,100 : x
  2. Step 2: Convert to fraction form
    357,424.40/493,356.40 = 230,100/x
  3. Step 3: Cross multiply
    357,424.40x = 493,356.40 × 230,100
  4. Step 4: Simplify right side
    357,424.40x = 113,521,307,640
  5. Step 5: Solve for x
    x = 113,521,307,640/357,424.40
  6. Step 6: Final answer
    x = 317,609.28

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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.