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Finding the Fourth Proportional to 369,580.84, 509,991.02 and 208,475.50

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Solution

The fourth proportional to 369,580.84, 509,991.02 and 208,475.50 is: 287,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,580.84 : 509,991.02 = 208,475.50 : x
  2. Step 2: Convert to fraction form
    369,580.84/509,991.02 = 208,475.50/x
  3. Step 3: Cross multiply
    369,580.84x = 509,991.02 × 208,475.50
  4. Step 4: Simplify right side
    369,580.84x = 106,320,632,890.01
  5. Step 5: Solve for x
    x = 106,320,632,890.01/369,580.84
  6. Step 6: Final answer
    x = 287,678.96

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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.