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Finding the Fourth Proportional to 520,051.80, 780,077.70 and 440,335.65

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Solution

The fourth proportional to 520,051.80, 780,077.70 and 440,335.65 is: 660,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.80 : 780,077.70 = 440,335.65 : x
  2. Step 2: Convert to fraction form
    520,051.80/780,077.70 = 440,335.65/x
  3. Step 3: Cross multiply
    520,051.80x = 780,077.70 × 440,335.65
  4. Step 4: Simplify right side
    520,051.80x = 343,496,021,080.01
  5. Step 5: Solve for x
    x = 343,496,021,080.01/520,051.80
  6. Step 6: Final answer
    x = 660,503.48

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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.