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Finding the Fourth Proportional to 565,564.16, 780,493.44 and 310,921.76

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Solution

The fourth proportional to 565,564.16, 780,493.44 and 310,921.76 is: 429,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564.16 : 780,493.44 = 310,921.76 : x
  2. Step 2: Convert to fraction form
    565,564.16/780,493.44 = 310,921.76/x
  3. Step 3: Cross multiply
    565,564.16x = 780,493.44 × 310,921.76
  4. Step 4: Simplify right side
    565,564.16x = 242,672,394,033.25
  5. Step 5: Solve for x
    x = 242,672,394,033.25/565,564.16
  6. Step 6: Final answer
    x = 429,080.22

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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.