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Finding the Fourth Proportional to 283,647.60, 391,423.74 and 154,583.46

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Solution

The fourth proportional to 283,647.60, 391,423.74 and 154,583.46 is: 213,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,647.60 : 391,423.74 = 154,583.46 : x
  2. Step 2: Convert to fraction form
    283,647.60/391,423.74 = 154,583.46/x
  3. Step 3: Cross multiply
    283,647.60x = 391,423.74 × 154,583.46
  4. Step 4: Simplify right side
    283,647.60x = 60,507,636,055.34
  5. Step 5: Solve for x
    x = 60,507,636,055.34/283,647.60
  6. Step 6: Final answer
    x = 213,319.75

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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.