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Finding the Fourth Proportional to 565,511.78, 780,407.09 and 310,864.52

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Solution

The fourth proportional to 565,511.78, 780,407.09 and 310,864.52 is: 428,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,511.78 : 780,407.09 = 310,864.52 : x
  2. Step 2: Convert to fraction form
    565,511.78/780,407.09 = 310,864.52/x
  3. Step 3: Cross multiply
    565,511.78x = 780,407.09 × 310,864.52
  4. Step 4: Simplify right side
    565,511.78x = 242,600,875,437.45
  5. Step 5: Solve for x
    x = 242,600,875,437.45/565,511.78
  6. Step 6: Final answer
    x = 428,993.50

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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.