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Finding the Fourth Proportional to 369,580.35, 509,990.33 and 208,475.00

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Solution

The fourth proportional to 369,580.35, 509,990.33 and 208,475.00 is: 287,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,580.35 : 509,990.33 = 208,475.00 : x
  2. Step 2: Convert to fraction form
    369,580.35/509,990.33 = 208,475.00/x
  3. Step 3: Cross multiply
    369,580.35x = 509,990.33 × 208,475.00
  4. Step 4: Simplify right side
    369,580.35x = 106,320,230,454.42
  5. Step 5: Solve for x
    x = 106,320,230,454.42/369,580.35
  6. Step 6: Final answer
    x = 287,678.26

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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.