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Finding the Fourth Proportional to 283,269.60, 390,914.64 and 155,948

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Solution

The fourth proportional to 283,269.60, 390,914.64 and 155,948 is: 215,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,269.60 : 390,914.64 = 155,948 : x
  2. Step 2: Convert to fraction form
    283,269.60/390,914.64 = 155,948/x
  3. Step 3: Cross multiply
    283,269.60x = 390,914.64 × 155,948
  4. Step 4: Simplify right side
    283,269.60x = 60,962,356,278.72
  5. Step 5: Solve for x
    x = 60,962,356,278.72/283,269.60
  6. Step 6: Final answer
    x = 215,209.67

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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.