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Finding the Fourth Proportional to 516,897.45, 776,231.91 and 280,701.45

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Solution

The fourth proportional to 516,897.45, 776,231.91 and 280,701.45 is: 421,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,897.45 : 776,231.91 = 280,701.45 : x
  2. Step 2: Convert to fraction form
    516,897.45/776,231.91 = 280,701.45/x
  3. Step 3: Cross multiply
    516,897.45x = 776,231.91 × 280,701.45
  4. Step 4: Simplify right side
    516,897.45x = 217,889,422,673.27
  5. Step 5: Solve for x
    x = 217,889,422,673.27/516,897.45
  6. Step 6: Final answer
    x = 421,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.