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Finding the Fourth Proportional to 565,483.73, 780,358.77 and 310,829.45

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Solution

The fourth proportional to 565,483.73, 780,358.77 and 310,829.45 is: 428,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,483.73 : 780,358.77 = 310,829.45 : x
  2. Step 2: Convert to fraction form
    565,483.73/780,358.77 = 310,829.45/x
  3. Step 3: Cross multiply
    565,483.73x = 780,358.77 × 310,829.45
  4. Step 4: Simplify right side
    565,483.73x = 242,558,483,379.98
  5. Step 5: Solve for x
    x = 242,558,483,379.98/565,483.73
  6. Step 6: Final answer
    x = 428,939.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.