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Finding the Fourth Proportional to 520,043.40, 780,065.10 and 455,761.80

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Solution

The fourth proportional to 520,043.40, 780,065.10 and 455,761.80 is: 683,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,043.40 : 780,065.10 = 455,761.80 : x
  2. Step 2: Convert to fraction form
    520,043.40/780,065.10 = 455,761.80/x
  3. Step 3: Cross multiply
    520,043.40x = 780,065.10 × 455,761.80
  4. Step 4: Simplify right side
    520,043.40x = 355,523,874,093.18
  5. Step 5: Solve for x
    x = 355,523,874,093.18/520,043.40
  6. Step 6: Final answer
    x = 683,642.70

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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.