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Finding the Fourth Proportional to 509,701.54, 764,644.47 and 210,015.40

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Solution

The fourth proportional to 509,701.54, 764,644.47 and 210,015.40 is: 315,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,701.54 : 764,644.47 = 210,015.40 : x
  2. Step 2: Convert to fraction form
    509,701.54/764,644.47 = 210,015.40/x
  3. Step 3: Cross multiply
    509,701.54x = 764,644.47 × 210,015.40
  4. Step 4: Simplify right side
    509,701.54x = 160,587,114,224.84
  5. Step 5: Solve for x
    x = 160,587,114,224.84/509,701.54
  6. Step 6: Final answer
    x = 315,061.07

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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.