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Finding the Fourth Proportional to 520,072.80, 780,109.20 and 440,356.65

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Solution

The fourth proportional to 520,072.80, 780,109.20 and 440,356.65 is: 660,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,072.80 : 780,109.20 = 440,356.65 : x
  2. Step 2: Convert to fraction form
    520,072.80/780,109.20 = 440,356.65/x
  3. Step 3: Cross multiply
    520,072.80x = 780,109.20 × 440,356.65
  4. Step 4: Simplify right side
    520,072.80x = 343,526,273,946.18
  5. Step 5: Solve for x
    x = 343,526,273,946.18/520,072.80
  6. Step 6: Final answer
    x = 660,534.98

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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.