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Finding the Fourth Proportional to 565,511.28, 780,406.40 and 310,864.02

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Solution

The fourth proportional to 565,511.28, 780,406.40 and 310,864.02 is: 428,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,511.28 : 780,406.40 = 310,864.02 : x
  2. Step 2: Convert to fraction form
    565,511.28/780,406.40 = 310,864.02/x
  3. Step 3: Cross multiply
    565,511.28x = 780,406.40 × 310,864.02
  4. Step 4: Simplify right side
    565,511.28x = 242,600,270,737.73
  5. Step 5: Solve for x
    x = 242,600,270,737.73/565,511.28
  6. Step 6: Final answer
    x = 428,992.81

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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.