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Finding the Fourth Proportional to 565,606.96, 780,542.94 and 310,960

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Solution

The fourth proportional to 565,606.96, 780,542.94 and 310,960 is: 429,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,606.96 : 780,542.94 = 310,960 : x
  2. Step 2: Convert to fraction form
    565,606.96/780,542.94 = 310,960/x
  3. Step 3: Cross multiply
    565,606.96x = 780,542.94 × 310,960
  4. Step 4: Simplify right side
    565,606.96x = 242,717,632,622.40
  5. Step 5: Solve for x
    x = 242,717,632,622.40/565,606.96
  6. Step 6: Final answer
    x = 429,127.73

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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.