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Finding the Fourth Proportional to 565,628.94, 780,548.00 and 310,978.17

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Solution

The fourth proportional to 565,628.94, 780,548.00 and 310,978.17 is: 429,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,628.94 : 780,548.00 = 310,978.17 : x
  2. Step 2: Convert to fraction form
    565,628.94/780,548.00 = 310,978.17/x
  3. Step 3: Cross multiply
    565,628.94x = 780,548.00 × 310,978.17
  4. Step 4: Simplify right side
    565,628.94x = 242,733,387,082.27
  5. Step 5: Solve for x
    x = 242,733,387,082.27/565,628.94
  6. Step 6: Final answer
    x = 429,138.91

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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.