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Finding the Fourth Proportional to 565,707.50, 780,698.22 and 311,053.22

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Solution

The fourth proportional to 565,707.50, 780,698.22 and 311,053.22 is: 429,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,707.50 : 780,698.22 = 311,053.22 : x
  2. Step 2: Convert to fraction form
    565,707.50/780,698.22 = 311,053.22/x
  3. Step 3: Cross multiply
    565,707.50x = 780,698.22 × 311,053.22
  4. Step 4: Simplify right side
    565,707.50x = 242,838,695,179.27
  5. Step 5: Solve for x
    x = 242,838,695,179.27/565,707.50
  6. Step 6: Final answer
    x = 429,265.47

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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.