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Finding the Fourth Proportional to 520,579.80, 780,140.70 and 414,145.80

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Solution

The fourth proportional to 520,579.80, 780,140.70 and 414,145.80 is: 620,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,579.80 : 780,140.70 = 414,145.80 : x
  2. Step 2: Convert to fraction form
    520,579.80/780,140.70 = 414,145.80/x
  3. Step 3: Cross multiply
    520,579.80x = 780,140.70 × 414,145.80
  4. Step 4: Simplify right side
    520,579.80x = 323,091,994,314.06
  5. Step 5: Solve for x
    x = 323,091,994,314.06/520,579.80
  6. Step 6: Final answer
    x = 620,638.75

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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.