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Finding the Fourth Proportional to 520,119.95, 780,329.37 and 216,455

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Solution

The fourth proportional to 520,119.95, 780,329.37 and 216,455 is: 324,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,119.95 : 780,329.37 = 216,455 : x
  2. Step 2: Convert to fraction form
    520,119.95/780,329.37 = 216,455/x
  3. Step 3: Cross multiply
    520,119.95x = 780,329.37 × 216,455
  4. Step 4: Simplify right side
    520,119.95x = 168,906,193,783.35
  5. Step 5: Solve for x
    x = 168,906,193,783.35/520,119.95
  6. Step 6: Final answer
    x = 324,744.69

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1.5x scale

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.