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Finding the Fourth Proportional to 520,013.10, 780,106.05 and 204,480.30

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Solution

The fourth proportional to 520,013.10, 780,106.05 and 204,480.30 is: 306,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,013.10 : 780,106.05 = 204,480.30 : x
  2. Step 2: Convert to fraction form
    520,013.10/780,106.05 = 204,480.30/x
  3. Step 3: Cross multiply
    520,013.10x = 780,106.05 × 204,480.30
  4. Step 4: Simplify right side
    520,013.10x = 159,516,319,135.82
  5. Step 5: Solve for x
    x = 159,516,319,135.82/520,013.10
  6. Step 6: Final answer
    x = 306,754.42

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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.