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Finding the Fourth Proportional to 520,100.20, 780,150.30 and 146,123.20

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Solution

The fourth proportional to 520,100.20, 780,150.30 and 146,123.20 is: 219,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,100.20 : 780,150.30 = 146,123.20 : x
  2. Step 2: Convert to fraction form
    520,100.20/780,150.30 = 146,123.20/x
  3. Step 3: Cross multiply
    520,100.20x = 780,150.30 × 146,123.20
  4. Step 4: Simplify right side
    520,100.20x = 113,998,058,316.96
  5. Step 5: Solve for x
    x = 113,998,058,316.96/520,100.20
  6. Step 6: Final answer
    x = 219,184.80

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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.