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Finding the Fourth Proportional to 520,172.80, 780,064.80 and 204,564.40

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Solution

The fourth proportional to 520,172.80, 780,064.80 and 204,564.40 is: 306,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,172.80 : 780,064.80 = 204,564.40 : x
  2. Step 2: Convert to fraction form
    520,172.80/780,064.80 = 204,564.40/x
  3. Step 3: Cross multiply
    520,172.80x = 780,064.80 × 204,564.40
  4. Step 4: Simplify right side
    520,172.80x = 159,573,487,773.12
  5. Step 5: Solve for x
    x = 159,573,487,773.12/520,172.80
  6. Step 6: Final answer
    x = 306,770.15

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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.