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Finding the Fourth Proportional to 519,868.69, 780,050.94 and 283,206.13

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Solution

The fourth proportional to 519,868.69, 780,050.94 and 283,206.13 is: 424,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,868.69 : 780,050.94 = 283,206.13 : x
  2. Step 2: Convert to fraction form
    519,868.69/780,050.94 = 283,206.13/x
  3. Step 3: Cross multiply
    519,868.69x = 780,050.94 × 283,206.13
  4. Step 4: Simplify right side
    519,868.69x = 220,915,207,920.26
  5. Step 5: Solve for x
    x = 220,915,207,920.26/519,868.69
  6. Step 6: Final answer
    x = 424,944.24

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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.