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Finding the Fourth Proportional to 565,590.99, 780,520.86 and 310,944

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Solution

The fourth proportional to 565,590.99, 780,520.86 and 310,944 is: 429,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,590.99 : 780,520.86 = 310,944 : x
  2. Step 2: Convert to fraction form
    565,590.99/780,520.86 = 310,944/x
  3. Step 3: Cross multiply
    565,590.99x = 780,520.86 × 310,944
  4. Step 4: Simplify right side
    565,590.99x = 242,698,278,291.84
  5. Step 5: Solve for x
    x = 242,698,278,291.84/565,590.99
  6. Step 6: Final answer
    x = 429,105.63

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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.