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Finding the Fourth Proportional to 369,615.78, 510,069.08 and 208,470.33

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Solution

The fourth proportional to 369,615.78, 510,069.08 and 208,470.33 is: 287,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,615.78 : 510,069.08 = 208,470.33 : x
  2. Step 2: Convert to fraction form
    369,615.78/510,069.08 = 208,470.33/x
  3. Step 3: Cross multiply
    369,615.78x = 510,069.08 × 208,470.33
  4. Step 4: Simplify right side
    369,615.78x = 106,334,269,951.57
  5. Step 5: Solve for x
    x = 106,334,269,951.57/369,615.78
  6. Step 6: Final answer
    x = 287,688.66

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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.