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Finding the Fourth Proportional to 520,285.40, 780,111.30 and 204,363.80

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Solution

The fourth proportional to 520,285.40, 780,111.30 and 204,363.80 is: 306,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,285.40 : 780,111.30 = 204,363.80 : x
  2. Step 2: Convert to fraction form
    520,285.40/780,111.30 = 204,363.80/x
  3. Step 3: Cross multiply
    520,285.40x = 780,111.30 × 204,363.80
  4. Step 4: Simplify right side
    520,285.40x = 159,426,509,690.94
  5. Step 5: Solve for x
    x = 159,426,509,690.94/520,285.40
  6. Step 6: Final answer
    x = 306,421.26

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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.