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Finding the Fourth Proportional to 520,963.24, 780,913.50 and 205,292.20

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Solution

The fourth proportional to 520,963.24, 780,913.50 and 205,292.20 is: 307,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,963.24 : 780,913.50 = 205,292.20 : x
  2. Step 2: Convert to fraction form
    520,963.24/780,913.50 = 205,292.20/x
  3. Step 3: Cross multiply
    520,963.24x = 780,913.50 × 205,292.20
  4. Step 4: Simplify right side
    520,963.24x = 160,315,450,424.70
  5. Step 5: Solve for x
    x = 160,315,450,424.70/520,963.24
  6. Step 6: Final answer
    x = 307,728.91

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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.