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Finding the Fourth Proportional to 283,318, 390,971.10 and 155,994.28

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Solution

The fourth proportional to 283,318, 390,971.10 and 155,994.28 is: 215,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,318 : 390,971.10 = 155,994.28 : x
  2. Step 2: Convert to fraction form
    283,318/390,971.10 = 155,994.28/x
  3. Step 3: Cross multiply
    283,318x = 390,971.10 × 155,994.28
  4. Step 4: Simplify right side
    283,318x = 60,989,255,245.31
  5. Step 5: Solve for x
    x = 60,989,255,245.31/283,318
  6. Step 6: Final answer
    x = 215,267.84

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1.5x scale

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.