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Finding the Fourth Proportional to 520,199.20, 780,298.80 and 146,222.20

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Solution

The fourth proportional to 520,199.20, 780,298.80 and 146,222.20 is: 219,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,199.20 : 780,298.80 = 146,222.20 : x
  2. Step 2: Convert to fraction form
    520,199.20/780,298.80 = 146,222.20/x
  3. Step 3: Cross multiply
    520,199.20x = 780,298.80 × 146,222.20
  4. Step 4: Simplify right side
    520,199.20x = 114,097,007,193.36
  5. Step 5: Solve for x
    x = 114,097,007,193.36/520,199.20
  6. Step 6: Final answer
    x = 219,333.30

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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.