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Finding the Fourth Proportional to 520,096.60, 780,087.30 and 146,157.40

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Solution

The fourth proportional to 520,096.60, 780,087.30 and 146,157.40 is: 219,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.60 : 780,087.30 = 146,157.40 : x
  2. Step 2: Convert to fraction form
    520,096.60/780,087.30 = 146,157.40/x
  3. Step 3: Cross multiply
    520,096.60x = 780,087.30 × 146,157.40
  4. Step 4: Simplify right side
    520,096.60x = 114,015,531,541.02
  5. Step 5: Solve for x
    x = 114,015,531,541.02/520,096.60
  6. Step 6: Final answer
    x = 219,219.91

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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.