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Finding the Fourth Proportional to 516,259.50, 712,438.14 and 289,905

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Solution

The fourth proportional to 516,259.50, 712,438.14 and 289,905 is: 400,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,259.50 : 712,438.14 = 289,905 : x
  2. Step 2: Convert to fraction form
    516,259.50/712,438.14 = 289,905/x
  3. Step 3: Cross multiply
    516,259.50x = 712,438.14 × 289,905
  4. Step 4: Simplify right side
    516,259.50x = 206,539,378,976.70
  5. Step 5: Solve for x
    x = 206,539,378,976.70/516,259.50
  6. Step 6: Final answer
    x = 400,068.92

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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.